Theorems · Theorem · order theory
le_compl_self
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a : α}, a ≤ aᶜ ↔ a = ⊥- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 2 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.
- Bot.botstatement and proof · cited by 4,720
- Compl.complstatement · cited by 2,925
- HeytingAlgebrastatement and proof · cited by 108
- disjoint_selfproof · cited by 28
- le_compl_iff_disjoint_leftproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ne_compl_selfproof · cited by 1
- compl_le_selfproof · cited by 0