Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.ElementarySubstructure.coe_subtype

∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] (S : L.ElementarySubstructure M),
  ⇑S.subtype = Subtype.val
Defined in
Mathlib.ModelTheory.ElementarySubstructures
Cited by
0 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFunLike.coe · cited by 62936DFunLike.coeFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.ElementaryEmbedding · cited by 33Language.ElementaryEmbedd…FirstOrder.Language.ElementarySubstructure · cited by 18Language.ElementarySubstr…FirstOrder.Language.ElementarySubstructure.subtype · cited by 7ElementarySubstructure.su…ElementarySubstructure.coe_su…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.