# 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 4/4.

## Question 10576: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0051`; number: 10576
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0051/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0051.json)

## Question 10577: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0052`; number: 10577
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0052/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0052.json)

## Question 10578: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0053`; number: 10578
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0053/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0053.json)

## Question 10579: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0054`; number: 10579
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0054/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0054.json)

## Question 10580: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0055`; number: 10580
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0055/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0055.json)

## Question 10581: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0056`; number: 10581
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0056/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0056.json)

## Question 10582: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0057`; number: 10582
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0057/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0057.json)

## Question 10583: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0058`; number: 10583
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0058/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0058.json)

## Question 10584: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0059`; number: 10584
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0059/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0059.json)

## Question 10585: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0060`; number: 10585
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0060/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0060.json)

## Question 10586: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0061`; number: 10586
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0061/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0061.json)

## Question 10587: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0062`; number: 10587
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0062/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0062.json)

## Question 10588: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0063`; number: 10588
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0063/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0063.json)

## Question 10589: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0064`; number: 10589
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0064/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0064.json)

## Question 10590: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0065`; number: 10590
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0065/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0065.json)

## Question 10591: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0066`; number: 10591
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0066/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0066.json)

## Question 10592: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0067`; number: 10592
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0067/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0067.json)

## Question 10593: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0068`; number: 10593
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0068/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0068.json)

## Question 10594: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0069`; number: 10594
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0069/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0069.json)

## Question 10595: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0070`; number: 10595
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0070/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0070.json)

## Question 10596: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0071`; number: 10596
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0071/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0071.json)

## Question 10597: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0072`; number: 10597
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0072/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0072.json)

## Question 10598: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0073`; number: 10598
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0073/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0073.json)

## Question 10599: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0074`; number: 10599
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0074/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0074.json)

## Question 10600: An Explicit Infinite Constant Tail Supplies a Quantified Witness

- ID: `q-20261013-advance-20261023-r04-metric-convergence-0075`; number: 10600
- Processing: second_context_reviewed
- MKO: [mko-metric-convergence](/en/mko/mko-metric-convergence/)
- Family: [qf-mod23-metricconv-ultimately-constant-limit](/en/explore/?family=qf-mod23-metricconv-ultimately-constant-limit)
- Batch: [batch-20261013-advance-20261023-r04-metric-convergence-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r04-metric-convergence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0075/) / [Markdown](/en/questions/q-20261013-advance-20261023-r04-metric-convergence-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r04-metric-convergence-0075.json)

