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Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.substructureReduct.congr_simp

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {L' : FirstOrder.Language} [inst_1 : L'.Structure M]
  (φ φ_1 : L →ᴸ L') (e_φ : φ = φ_1) [inst_2 : φ.IsExpansionOn M], φ.substructureReduct = φ_1.substructureReduct
Defined in
Mathlib.ModelTheory.Substructures
Cited by
0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.LHom.IsExpansionOn
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FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureOrderEmbedding · cited by 619OrderEmbeddingFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.LHom · cited by 66Language.LHomFirstOrder.Language.LHom.IsExpansionOn · cited by 31LHom.IsExpansionOnFirstOrder.Language.LHom.substructureReduct · cited by 6LHom.substructureReductsubstructureReduct.congr_simpCITED BYCITES

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