Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.Equiv.comp_toHom

∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N] {P : Type u_1}
  [inst_2 : L.Structure P] (hnp : L.Equiv N P) (hmn : L.Equiv M N), (hnp.comp hmn).toHom = hnp.toHom.comp hmn.toHom
Defined in
Mathlib.ModelTheory.Basic
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.Equiv.symm_comp_self_toHom · cited by 0Equiv.symm_comp_self_toHomFirstOrder.Language.Equiv.self_comp_symm_toHom · cited by 0Equiv.self_comp_symm_toHomFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Hom · cited by 107Language.HomFirstOrder.Language.Equiv · cited by 83Language.EquivFirstOrder.Language.Hom.comp · cited by 20Hom.compFirstOrder.Language.Equiv.comp · cited by 12Equiv.compFirstOrder.Language.Equiv.toHom · cited by 11Equiv.toHomEquiv.comp_toHomCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.