Theorems · Theorem · order theory
ne_hnot_self
∀ {α : Type u_2} [inst : CoheytingAlgebra α] {a : α} [Nontrivial α], a ≠ ￢a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- CoheytingAlgebraNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Nontrivialstatement and proof · cited by 2,416
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement and proof · cited by 83
- ge_of_eqproof · cited by 67
- top_ne_botproof · cited by 15
- le_hnot_selfproof · cited by 2
- hnot_topproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- lt_hnot_selfproof · cited by 0
- hnot_ne_selfproof · cited by 0