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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.inclusion_self

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] (S : L.Substructure M),
  FirstOrder.Language.Substructure.inclusion ⋯ = FirstOrder.Language.Embedding.refl L ↥S
Defined in
Mathlib.ModelTheory.Substructures
Cited by
0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.Structure
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le_refl · cited by 2061le_reflFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Embedding · cited by 128Language.EmbeddingFirstOrder.Language.Substructure.inclusion · cited by 26Substructure.inclusionFirstOrder.Language.Embedding.refl · cited by 10Embedding.reflSubstructure.inclusion_selfCITED BYCITES

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