Theorems · Theorem · order theory
le_compl_comm
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, a ≤ bᶜ ↔ b ≤ aᶜ- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- HeytingAlgebra
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.
- Compl.complstatement and proof · cited by 2,925
- Disjointproof · cited by 2,201
- HeytingAlgebrastatement and proof · cited by 108
- le_compl_iff_disjoint_rightproof · cited by 10
- le_compl_iff_disjoint_leftproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- compl_antiproof · cited by 8
- le_compl_iff_le_complproof · cited by 3
- compl_compl_himp_distribproof · cited by 1
- le_compl_of_le_complproof · cited by 0