# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 23526: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0001`; number: 23526
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0001/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0001.json)

## Question 23527: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0002`; number: 23527
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0002/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0002.json)

## Question 23528: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0003`; number: 23528
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0003/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0003.json)

## Question 23529: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0004`; number: 23529
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0004/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0004.json)

## Question 23530: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0005`; number: 23530
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0005/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0005.json)

## Question 23531: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0006`; number: 23531
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0006/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0006.json)

## Question 23532: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0007`; number: 23532
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0007/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0007.json)

## Question 23533: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0008`; number: 23533
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0008/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0008.json)

## Question 23534: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0009`; number: 23534
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0009/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0009.json)

## Question 23535: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0010`; number: 23535
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0010/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0010.json)

## Question 23536: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0011`; number: 23536
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0011/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0011.json)

## Question 23537: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0012`; number: 23537
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0012/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0012.json)

## Question 23538: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0013`; number: 23538
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0013/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0013.json)

## Question 23539: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0014`; number: 23539
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0014/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0014.json)

## Question 23540: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0015`; number: 23540
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0015/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0015.json)

## Question 23541: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0016`; number: 23541
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0016/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0016.json)

## Question 23542: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0017`; number: 23542
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0017/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0017.json)

## Question 23543: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0018`; number: 23543
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0018/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0018.json)

## Question 23544: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0019`; number: 23544
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0019/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0019.json)

## Question 23545: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0020`; number: 23545
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0020/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0020.json)

## Question 23546: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0021`; number: 23546
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0021/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0021.json)

## Question 23547: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0022`; number: 23547
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0022/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0022.json)

## Question 23548: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0023`; number: 23548
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0023/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0023.json)

## Question 23549: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0024`; number: 23549
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0024/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0024.json)

## Question 23550: Ambient Hausdorffness and Compactness Are Both Theorem Hypotheses

- ID: `q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0025`; number: 23550
- Processing: second_context_reviewed
- MKO: [mko-compact-subset-closed-in-hausdorff](/en/mko/mko-compact-subset-closed-in-hausdorff/)
- Family: [qf-mod43-compactclosed-hypotheses-qualification](/en/explore/?family=qf-mod43-compactclosed-hypotheses-qualification)
- Batch: [batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0025/) / [Markdown](/en/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r03-compact-subset-closed-in-hausdorff-0025.json)

