Theorems · Theorem · order theory
compl_bihimp_self
∀ {α : Type u_2} [inst : HeytingAlgebra α] (a : α), bihimp aᶜ a = ⊥- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- HeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 2,925
- eq_bot_iffproof · cited by 159
- HImp.himpproof · cited by 153
- HeytingAlgebrastatement and proof · cited by 108
- bihimpstatement · cited by 81
- Disjoint.le_botproof · cited by 52
- disjoint_compl_leftproof · cited by 17
- inf_himpproof · cited by 2
- himp_complproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- bihimp_compl_selfproof · cited by 1
- IsCompl.bihimp_eq_botproof · cited by 0