# 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 27476: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0051`; number: 27476
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0051/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0051.json)

## Question 27477: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0052`; number: 27477
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0052/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0052.json)

## Question 27478: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0053`; number: 27478
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0053/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0053.json)

## Question 27479: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0054`; number: 27479
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0054/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0054.json)

## Question 27480: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0055`; number: 27480
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0055/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0055.json)

## Question 27481: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0056`; number: 27481
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0056/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0056.json)

## Question 27482: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0057`; number: 27482
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0057/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0057.json)

## Question 27483: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0058`; number: 27483
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0058/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0058.json)

## Question 27484: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0059`; number: 27484
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0059/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0059.json)

## Question 27485: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0060`; number: 27485
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0060/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0060.json)

## Question 27486: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0061`; number: 27486
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0061/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0061.json)

## Question 27487: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0062`; number: 27487
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0062/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0062.json)

## Question 27488: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0063`; number: 27488
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0063/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0063.json)

## Question 27489: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0064`; number: 27489
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0064/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0064.json)

## Question 27490: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0065`; number: 27490
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0065/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0065.json)

## Question 27491: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0066`; number: 27491
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0066/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0066.json)

## Question 27492: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0067`; number: 27492
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0067/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0067.json)

## Question 27493: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0068`; number: 27493
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0068/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0068.json)

## Question 27494: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0069`; number: 27494
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0069/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0069.json)

## Question 27495: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0070`; number: 27495
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0070/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0070.json)

## Question 27496: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0071`; number: 27496
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0071/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0071.json)

## Question 27497: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0072`; number: 27497
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0072/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0072.json)

## Question 27498: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0073`; number: 27498
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0073/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0073.json)

## Question 27499: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0074`; number: 27499
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0074/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0074.json)

## Question 27500: Sum Valuation Is at Least the Minimum, with Equality Guaranteed Only at Unequal Valuations

- ID: `q-20261015-advance-20261118-r05-p-adic-valuation-integers-0075`; number: 27500
- Processing: second_context_reviewed
- MKO: [mko-p-adic-valuation-integers](/en/mko/mko-p-adic-valuation-integers/)
- Family: [qf-mod49-pval-sum-ultrametric](/en/explore/?family=qf-mod49-pval-sum-ultrametric)
- Batch: [batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations](/en/explore/?batch=batch-20261015-advance-20261118-r05-p-adic-valuation-integers-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0075/) / [Markdown](/en/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261118-r05-p-adic-valuation-integers-0075.json)