# 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 9051: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0076`; number: 9051
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0076/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0076.json)

## Question 9052: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0077`; number: 9052
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0077/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0077.json)

## Question 9053: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0078`; number: 9053
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0078/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0078.json)

## Question 9054: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0079`; number: 9054
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0079/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0079.json)

## Question 9055: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0080`; number: 9055
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0080/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0080.json)

## Question 9056: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0081`; number: 9056
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0081/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0081.json)

## Question 9057: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0082`; number: 9057
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0082/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0082.json)

## Question 9058: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0083`; number: 9058
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0083/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0083.json)

## Question 9059: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0084`; number: 9059
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0084/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0084.json)

## Question 9060: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0085`; number: 9060
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0085/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0085.json)

## Question 9061: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0086`; number: 9061
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0086/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0086.json)

## Question 9062: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0087`; number: 9062
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0087/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0087.json)

## Question 9063: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0088`; number: 9063
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0088/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0088.json)

## Question 9064: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0089`; number: 9064
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0089/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0089.json)

## Question 9065: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0090`; number: 9065
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0090/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0090.json)

## Question 9066: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0091`; number: 9066
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0091/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0091.json)

## Question 9067: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0092`; number: 9067
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0092/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0092.json)

## Question 9068: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0093`; number: 9068
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0093/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0093.json)

## Question 9069: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0094`; number: 9069
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0094/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0094.json)

## Question 9070: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0095`; number: 9070
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0095/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0095.json)

## Question 9071: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0096`; number: 9071
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0096/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0096.json)

## Question 9072: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0097`; number: 9072
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0097/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0097.json)

## Question 9073: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0098`; number: 9073
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0098/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0098.json)

## Question 9074: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0099`; number: 9074
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0099/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0099.json)

## Question 9075: Multiplicative Congruence Values, Premises, and Material Implication

- ID: `q-20261013-advance-20261018-r05-modular-congruence-0100`; number: 9075
- Processing: second_context_reviewed
- MKO: [mko-modular-congruence](/en/mko/mko-modular-congruence/)
- Family: [qf-ext18-modeq-mul-preservation](/en/explore/?family=qf-ext18-modeq-mul-preservation)
- Batch: [batch-20261013-advance-20261018-r05-modular-congruence-foundations](/en/explore/?batch=batch-20261013-advance-20261018-r05-modular-congruence-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0100/) / [Markdown](/en/questions/q-20261013-advance-20261018-r05-modular-congruence-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261018-r05-modular-congruence-0100.json)

