Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.comap_injective_of_surjective
∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {f : L.Hom M N},
Function.Surjective ⇑f → Function.Injective (FirstOrder.Language.Substructure.comap f)- Defined in
- Mathlib.ModelTheory.Substructures
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- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement and proof · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- FirstOrder.Language.Homstatement and proof · cited by 107
- FirstOrder.Language.Substructure.comapstatement · cited by 31
- GaloisInsertion.u_injectiveproof · cited by 10
- FirstOrder.Language.Substructure.giMapComapproof · cited by 9
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