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Theorems · Theorem · logic and foundations

FirstOrder.Language.HomClass.map_constants

∀ {L : FirstOrder.Language} {F : Type u_3} {M : Type u_4} {N : Type u_5} [inst : L.Structure M] [inst_1 : L.Structure N]
  [inst_2 : FunLike F M N] [L.HomClass F M N] (φ : F) (c : L.Constants), φ ↑c = ↑c
Defined in
Mathlib.ModelTheory.Basic
Cited by
4 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureFunLikeFirstOrder.Language.HomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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FirstOrder.Language.Embedding.map_constants · cited by 0Embedding.map_constantsFirstOrder.Language.Hom.map_constants · cited by 0Hom.map_constantsFirstOrder.Language.Equiv.map_constants · cited by 0Equiv.map_constantsFirstOrder.Language.ElementaryEmbedding.map_constants · cited by 0ElementaryEmbedding.map_c…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.constantMap · cited by 28Language.constantMapFirstOrder.Language.Constants · cited by 14Language.ConstantsFirstOrder.Language.HomClass · cited by 10Language.HomClassFirstOrder.Language.HomClass.map_fun · cited by 6HomClass.map_funHomClass.map_constantsCITED BYCITES

Cites8

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Cited by4

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