Mathlib Map

Theorems · Theorem · order theory

BiheytingHom.cancel_right

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : BiheytingAlgebra α] [inst_1 : BiheytingAlgebra β]
  [inst_2 : BiheytingAlgebra γ] {f : BiheytingHom α β} {g₁ g₂ : BiheytingHom β γ},
  Function.Surjective ⇑f → (g₁.comp f = g₂.comp f ↔ g₁ = g₂)
Defined in
Mathlib.Order.Heyting.Hom
Cited by
0 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
BiheytingAlgebraBiheytingAlgebraBiheytingAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeFunction.Surjective.forall · cited by 214Surjective.forallDFunLike.ext_iff · cited by 102DFunLike.ext_iffBiheytingAlgebra · cited by 25BiheytingAlgebraBiheytingHom · cited by 20BiheytingHomBiheytingHom.comp · cited by 7BiheytingHom.compBiheytingHom.ext · cited by 5BiheytingHom.extBiheytingHom.cancel_rightCITED BYCITES

Cites7

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.