Theorems · Theorem · order theory
compl_sup_le_himp
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, aᶜ ⊔ b ≤ a ⇨ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- HeytingAlgebra
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.
- Compl.complstatement · cited by 2,925
- sup_leproof · cited by 159
- HImp.himpstatement · cited by 153
- HeytingAlgebrastatement and proof · cited by 108
- le_himpproof · cited by 5
- compl_le_himpproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- compl_compl_himp_distribproof · cited by 1