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Theorems · Inductive type · order theory

HeytingHom

(α : Type u_6) → (β : Type u_7) → [HeytingAlgebra α] → [HeytingAlgebra β] → Type (max u_6 u_7)

The type of Heyting homomorphisms from α to β. Bounded lattice homomorphisms that preserve Heyting implication.

Defined in
Mathlib.Order.Heyting.Hom
Cited by
45 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
HeytingAlgebraHeytingAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HeytingHom.comp · cited by 9HeytingHom.compHeytAlg.Hom.hom · cited by 8Hom.homHeytAlg.ofHom · cited by 8HeytAlg.ofHomHeytingHom.id · cited by 6HeytingHom.idHeytingHom.ext · cited by 5HeytingHom.extBiheytingHom.id · cited by 4BiheytingHom.idHeytingHom.toLatticeHom · cited by 4HeytingHom.toLatticeHomHeytAlg.Hom.ext · cited by 2Hom.extHeytAlg.Hom.hom' · cited by 2Hom.hom'HeytingHom.copy · cited by 2HeytingHom.copyHeytingHom.mk.inj · cited by 1mk.injHeytingHom.mk.noConfusion · cited by 1mk.noConfusionHeytAlg.ext · cited by 1HeytAlg.extHeytAlg.hom_ext · cited by 1HeytAlg.hom_extHeytingHom.comp_apply · cited by 1HeytingHom.comp_applyHeytingAlgebra · cited by 108HeytingAlgebraHeytingHomCITED BYCITES

Cites1

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

Cited by64

Results whose statement or proof uses this declaration.