Theorems · Theorem · order theory
le_himp_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
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- le_himp_iffproof · cited by 19
- le_himp_iff'proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- sup_himp_distribproof · cited by 3