# 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.

100 results; page 2/4.

## Question 22926: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0051`; number: 22926
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0051/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0051.json)

## Question 22927: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0052`; number: 22927
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0052/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0052.json)

## Question 22928: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0053`; number: 22928
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0053/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0053.json)

## Question 22929: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0054`; number: 22929
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0054/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0054.json)

## Question 22930: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0055`; number: 22930
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0055/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0055.json)

## Question 22931: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0056`; number: 22931
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0056/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0056.json)

## Question 22932: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0057`; number: 22932
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0057/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0057.json)

## Question 22933: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0058`; number: 22933
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0058/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0058.json)

## Question 22934: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0059`; number: 22934
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0059/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0059.json)

## Question 22935: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0060`; number: 22935
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0060/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0060.json)

## Question 22936: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0061`; number: 22936
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0061/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0061.json)

## Question 22937: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0062`; number: 22937
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0062/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0062.json)

## Question 22938: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0063`; number: 22938
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0063/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0063.json)

## Question 22939: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0064`; number: 22939
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0064/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0064.json)

## Question 22940: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0065`; number: 22940
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0065/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0065.json)

## Question 22941: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0066`; number: 22941
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0066/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0066.json)

## Question 22942: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0067`; number: 22942
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0067/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0067.json)

## Question 22943: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0068`; number: 22943
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0068/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0068.json)

## Question 22944: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0069`; number: 22944
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0069/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0069.json)

## Question 22945: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0070`; number: 22945
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0070/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0070.json)

## Question 22946: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0071`; number: 22946
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0071/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0071.json)

## Question 22947: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0072`; number: 22947
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0072/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0072.json)

## Question 22948: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0073`; number: 22948
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0073/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0073.json)

## Question 22949: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0074`; number: 22949
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0074/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0074.json)

## Question 22950: One Exhaustively Failed Distinct Pair Proves Non-Hausdorffness

- ID: `q-20261014-advance-20261111-r03-hausdorff-space-0075`; number: 22950
- Processing: second_context_reviewed
- MKO: [mko-hausdorff-space](/en/mko/mko-hausdorff-space/)
- Family: [qf-mod42-hausdorff-inseparable-pair](/en/explore/?family=qf-mod42-hausdorff-inseparable-pair)
- Batch: [batch-20261014-advance-20261111-r03-hausdorff-space-foundations](/en/explore/?batch=batch-20261014-advance-20261111-r03-hausdorff-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0075/) / [Markdown](/en/questions/q-20261014-advance-20261111-r03-hausdorff-space-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261111-r03-hausdorff-space-0075.json)

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