Theorems · Inductive type · order theory
BiheytingHom
(α : Type u_6) → (β : Type u_7) → [BiheytingAlgebra α] → [BiheytingAlgebra β] → Type (max u_6 u_7)
The type of bi-Heyting homomorphisms from α to β. Bounded lattice homomorphisms that
preserve Heyting implication and difference.
- Defined in
- Mathlib.Order.Heyting.Hom
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BiheytingAlgebrastatement · cited by 25
Cited by30
Results whose statement or proof uses this declaration.
- BiheytingHom.compstatement and proof · cited by 7
- BiheytingHom.extstatement and proof · cited by 5
- BiheytingHom.idstatement · cited by 4
- BiheytingHom.toLatticeHomstatement and proof · cited by 4
- BiheytingHom.copystatement and proof · cited by 2
- BiheytingHom.mk.injstatement · cited by 1
- BiheytingHom.mk.noConfusionstatement · cited by 1
- BiheytingHom.comp_applystatement and proof · cited by 1
- BiheytingHom.mk.injEqstatement · cited by 0
- BiheytingHom.mk.sizeOf_specstatement · cited by 0
- BiheytingHom.cancel_leftstatement and proof · cited by 0
- BiheytingHom.cancel_rightstatement and proof · cited by 0