Theorems · Theorem · order theory
himp_himp
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] (a b c : α), a ⇨ b ⇨ c = a ⊓ b ⇨ cp → q → r ↔ p ∧ q → r
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HImp.himpstatement · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- eq_of_forall_le_iffproof · cited by 65
- inf_assocproof · cited by 53
Cited by3
Results whose statement or proof uses this declaration.
- himp_left_commproof · cited by 1
- himp_complproof · cited by 1
- himp_idemproof · cited by 1