Theorems · Theorem · order theory
himp_triangle
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] (a b c : α), (a ⇨ b) ⊓ (b ⇨ c) ≤ a ⇨ c- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- HImp.himpstatement and proof · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- le_himp_iffproof · cited by 19
- inf_right_commproof · cited by 9
- himp_inf_leproof · cited by 6
- le_himp_himpproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- himp_inf_himp_cancelproof · cited by 0