Theorems · Theorem · order theory
inf_himp_le
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] {a b : α}, a ⊓ (a ⇨ b) ≤ bp ∧ (p → q) → q
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_reflproof · cited by 2,061
- HImp.himpstatement and proof · cited by 153
- inf_commproof · cited by 139
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- le_himp_iffproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- le_himp_himpproof · cited by 1
- compl_compl_himp_distribproof · cited by 1