Theorems · Theorem · logic and foundations
FirstOrder.Language.Hom.domRestrict_toFun
∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] (f : L.Hom M N)
(p : L.Substructure M) (a : ↥p), (f.domRestrict p) a = f ↑a- Defined in
- Mathlib.ModelTheory.Substructures
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- Foundations
- Depth 21 from the axioms · uses Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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 and proof · cited by 242
- FirstOrder.Language.Homstatement and proof · cited by 107
- FirstOrder.Language.Hom.domRestrictstatement and proof · cited by 2
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