Theorems · Theorem · order theory
himp_inf_le
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] {a b : α}, (a ⇨ b) ⊓ a ≤ b(p → q) ∧ p → q
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- 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.
- le_rflproof · cited by 1,558
- HImp.himpstatement · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- le_himp_iffproof · cited by 19
Cited by6
Results whose statement or proof uses this declaration.
- himp_le_himp_leftproof · cited by 4
- bihimp_inf_supproof · cited by 2
- himp_le_himp_rightproof · cited by 2
- himp_triangleproof · cited by 1
- compl_compl_himp_distribproof · cited by 1
- bihimp_himp_eq_infproof · cited by 1