# 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 19901: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0001`; number: 19901
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0001/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0001.json)

## Question 19902: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0002`; number: 19902
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0002/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0002.json)

## Question 19903: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0003`; number: 19903
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0003/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0003.json)

## Question 19904: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0004`; number: 19904
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0004/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0004.json)

## Question 19905: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0005`; number: 19905
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0005/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0005.json)

## Question 19906: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0006`; number: 19906
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0006/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0006.json)

## Question 19907: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0007`; number: 19907
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0007/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0007.json)

## Question 19908: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0008`; number: 19908
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0008/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0008.json)

## Question 19909: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0009`; number: 19909
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0009/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0009.json)

## Question 19910: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0010`; number: 19910
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0010/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0010.json)

## Question 19911: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0011`; number: 19911
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0011/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0011.json)

## Question 19912: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0012`; number: 19912
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0012/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0012.json)

## Question 19913: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0013`; number: 19913
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0013/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0013.json)

## Question 19914: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0014`; number: 19914
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0014/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0014.json)

## Question 19915: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0015`; number: 19915
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0015/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0015.json)

## Question 19916: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0016`; number: 19916
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0016/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0016.json)

## Question 19917: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0017`; number: 19917
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0017/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0017.json)

## Question 19918: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0018`; number: 19918
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0018/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0018.json)

## Question 19919: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0019`; number: 19919
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0019/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0019.json)

## Question 19920: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0020`; number: 19920
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0020/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0020.json)

## Question 19921: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0021`; number: 19921
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0021/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0021.json)

## Question 19922: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0022`; number: 19922
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0022/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0022.json)

## Question 19923: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0023`; number: 19923
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0023/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0023.json)

## Question 19924: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0024`; number: 19924
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0024/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0024.json)

## Question 19925: Equal Cosets Need Not Have Equal Representatives

- ID: `q-20261014-advance-20261106-r07-quotient-vector-space-0025`; number: 19925
- Processing: second_context_reviewed
- MKO: [mko-quotient-vector-space](/en/mko/mko-quotient-vector-space/)
- Family: [qf-mod37-quotient-coset-equivalence](/en/explore/?family=qf-mod37-quotient-coset-equivalence)
- Batch: [batch-20261014-advance-20261106-r07-quotient-vector-space-foundations](/en/explore/?batch=batch-20261014-advance-20261106-r07-quotient-vector-space-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0025/) / [Markdown](/en/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261106-r07-quotient-vector-space-0025.json)