Theorems · Theorem · order theory
himp_le_himp_himp_himp
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] {a b c : α}, b ⇨ c ≤ (a ⇨ b) ⇨ a ⇨ c(q → r) → (p → q) → q → r
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- inf_le_leftproof · cited by 286
- HImp.himpstatement and proof · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- inf_assocproof · cited by 53
- le_himp_iffproof · cited by 19
- himp_inf_selfproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- himp_inf_himp_inf_leproof · cited by 0