# 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 20476: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0001`; number: 20476
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0001/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0001.json)

## Question 20477: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0002`; number: 20477
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0002/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0002.json)

## Question 20478: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0003`; number: 20478
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0003/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0003.json)

## Question 20479: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0004`; number: 20479
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0004/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0004.json)

## Question 20480: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0005`; number: 20480
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0005/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0005.json)

## Question 20481: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0006`; number: 20481
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0006/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0006.json)

## Question 20482: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0007`; number: 20482
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0007/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0007.json)

## Question 20483: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0008`; number: 20483
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0008/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0008.json)

## Question 20484: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0009`; number: 20484
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0009/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0009.json)

## Question 20485: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0010`; number: 20485
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0010/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0010.json)

## Question 20486: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0011`; number: 20486
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0011/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0011.json)

## Question 20487: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0012`; number: 20487
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0012/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0012.json)

## Question 20488: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0013`; number: 20488
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0013/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0013.json)

## Question 20489: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0014`; number: 20489
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0014/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0014.json)

## Question 20490: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0015`; number: 20490
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0015/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0015.json)

## Question 20491: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0016`; number: 20491
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0016/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0016.json)

## Question 20492: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0017`; number: 20492
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0017/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0017.json)

## Question 20493: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0018`; number: 20493
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0018/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0018.json)

## Question 20494: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0019`; number: 20494
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0019/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0019.json)

## Question 20495: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0020`; number: 20495
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0020/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0020.json)

## Question 20496: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0021`; number: 20496
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0021/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0021.json)

## Question 20497: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0022`; number: 20497
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0022/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0022.json)

## Question 20498: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0023`; number: 20498
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0023/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0023.json)

## Question 20499: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0024`; number: 20499
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0024/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0024.json)

## Question 20500: A Positive Affine Index Step Gives Strict Increase for Every Natural Index

- ID: `q-20261014-advance-20261107-r07-subsequence-0025`; number: 20500
- Processing: second_context_reviewed
- MKO: [mko-subsequence](/en/mko/mko-subsequence/)
- Family: [qf-mod38-subseq-index-certificate](/en/explore/?family=qf-mod38-subseq-index-certificate)
- Batch: [batch-20261014-advance-20261107-r07-subsequence-foundations](/en/explore/?batch=batch-20261014-advance-20261107-r07-subsequence-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261107-r07-subsequence-0025/) / [Markdown](/en/questions/q-20261014-advance-20261107-r07-subsequence-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261107-r07-subsequence-0025.json)

