Theorems · Theorem · order theory
IsCompl.eq_hnot
∀ {α : Type u_2} [inst : CoheytingAlgebra α] {a b : α}, IsCompl a b → a = ￢b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CoheytingAlgebra
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.
- IsComplstatement and proof · cited by 351
- Disjoint.symmproof · cited by 125
- LE.le.antisymm'proof · cited by 104
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement · cited by 83
- IsCompl.disjointproof · cited by 42
- IsCompl.codisjointproof · cited by 32
- codisjoint_hnot_leftproof · cited by 7
- Codisjoint.hnot_le_leftproof · cited by 2
- Codisjoint.le_of_disjointproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsCompl.symmDiff_eq_topproof · cited by 0