# OCME ยท 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 7701: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0026`; number: 7701 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0026/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0026.json) ## Question 7702: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0027`; number: 7702 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0027/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0027.json) ## Question 7703: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0028`; number: 7703 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0028/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0028.json) ## Question 7704: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0029`; number: 7704 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0029/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0029.json) ## Question 7705: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0030`; number: 7705 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0030/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0030.json) ## Question 7706: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0031`; number: 7706 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0031/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0031.json) ## Question 7707: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0032`; number: 7707 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0032/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0032.json) ## Question 7708: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0033`; number: 7708 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0033/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0033.json) ## Question 7709: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0034`; number: 7709 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0034/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0034.json) ## Question 7710: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0035`; number: 7710 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0035/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0035.json) ## Question 7711: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0036`; number: 7711 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0036/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0036.json) ## Question 7712: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0037`; number: 7712 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0037/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0037.json) ## Question 7713: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0038`; number: 7713 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0038/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0038.json) ## Question 7714: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0039`; number: 7714 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0039/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0039.json) ## Question 7715: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0040`; number: 7715 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0040/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0040.json) ## Question 7716: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0041`; number: 7716 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0041/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0041.json) ## Question 7717: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0042`; number: 7717 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0042/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0042.json) ## Question 7718: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0043`; number: 7718 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0043/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0043.json) ## Question 7719: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0044`; number: 7719 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0044/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0044.json) ## Question 7720: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0045`; number: 7720 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0045/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0045.json) ## Question 7721: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0046`; number: 7721 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0046/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0046.json) ## Question 7722: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0047`; number: 7722 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0047/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0047.json) ## Question 7723: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0048`; number: 7723 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0048/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0048.json) ## Question 7724: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0049`; number: 7724 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0049/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0049.json) ## Question 7725: Changed Codomain Must Contain All Original Outputs - ID: `q-20261012-advance-20261016-r07-surjective-0050`; number: 7725 - Processing: second_context_reviewed - MKO: [mko-surjective](/en/mko/mko-surjective/) - Family: [qf-density16-surj-changed-codomain-qualification](/en/explore/?family=qf-density16-surj-changed-codomain-qualification) - Batch: [batch-20261012-advance-20261016-r07-surjective-foundations](/en/explore/?batch=batch-20261012-advance-20261016-r07-surjective-foundations) - [Derivation](/en/questions/q-20261012-advance-20261016-r07-surjective-0050/) / [Markdown](/en/questions/q-20261012-advance-20261016-r07-surjective-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261016-r07-surjective-0050.json)