Theorems · Theorem · order theory
le_himp_himp
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] {a b : α}, a ≤ (a ⇨ b) ⇨ b- 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 · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- le_himp_iffproof · cited by 19
- inf_himp_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- himp_triangleproof · cited by 1