# 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.

200 results; page 8/8.

## Question 33476: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0076`; number: 33476
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0076/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0076.json)

## Question 33477: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0077`; number: 33477
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0077/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0077.json)

## Question 33478: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0078`; number: 33478
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0078/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0078.json)

## Question 33479: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0079`; number: 33479
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0079/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0079.json)

## Question 33480: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0080`; number: 33480
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0080/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0080.json)

## Question 33481: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0081`; number: 33481
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0081/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0081.json)

## Question 33482: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0082`; number: 33482
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0082/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0082.json)

## Question 33483: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0083`; number: 33483
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0083/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0083.json)

## Question 33484: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0084`; number: 33484
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0084/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0084.json)

## Question 33485: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0085`; number: 33485
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0085/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0085.json)

## Question 33486: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0086`; number: 33486
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0086/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0086.json)

## Question 33487: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0087`; number: 33487
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0087/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0087.json)

## Question 33488: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0088`; number: 33488
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0088/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0088.json)

## Question 33489: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0089`; number: 33489
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0089/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0089.json)

## Question 33490: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0090`; number: 33490
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0090/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0090.json)

## Question 33491: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0091`; number: 33491
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0091/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0091.json)

## Question 33492: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0092`; number: 33492
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0092/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0092.json)

## Question 33493: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0093`; number: 33493
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0093/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0093.json)

## Question 33494: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0094`; number: 33494
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0094/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0094.json)

## Question 33495: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0095`; number: 33495
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0095/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0095.json)

## Question 33496: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0096`; number: 33496
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0096/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0096.json)

## Question 33497: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0097`; number: 33497
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0097/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0097.json)

## Question 33498: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0098`; number: 33498
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0098/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0098.json)

## Question 33499: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0099`; number: 33499
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0099/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0099.json)

## Question 33500: Verify Refinement Rather than Assuming the Proposed Family Is Larger

- ID: `q-20261013-advance-20261025-r05-measurable-function-0100`; number: 33500
- Processing: second_context_reviewed
- MKO: [mko-measurable-function](/en/mko/mko-measurable-function/)
- Family: [qf-mod25-measdeep-source-sigma-refinement-audit](/en/explore/?family=qf-mod25-measdeep-source-sigma-refinement-audit)
- Batch: [batch-20261013-advance-20261025-r05-measurable-function-foundations](/en/explore/?batch=batch-20261013-advance-20261025-r05-measurable-function-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0100/) / [Markdown](/en/questions/q-20261013-advance-20261025-r05-measurable-function-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261025-r05-measurable-function-0100.json)

