Theorems · Theorem · order theory
lt_compl_self
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a : α} [Nontrivial α], a < aᶜ ↔ a = ⊥- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- HeytingAlgebraNontrivial
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
- Nontrivialstatement and proof · cited by 2,416
- HeytingAlgebrastatement and proof · cited by 108
- lt_iff_le_and_neproof · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- compl_lt_selfproof · cited by 0