Theorems · Theorem · order theory
himp_left_comm
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] (a b c : α), a ⇨ b ⇨ c = b ⇨ a ⇨ cp → q → r ↔ q → p → r
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 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 and proof · cited by 153
- inf_commproof · cited by 139
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- himp_himpproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- himp_compl_commproof · cited by 0