Theorems · Theorem · order theory
hnot_le_comm
∀ {α : Type u_2} [inst : CoheytingAlgebra α] {a b : α}, ￢b ≤ a ↔ ￢a ≤ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CoheytingAlgebra
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.
- Codisjointproof · cited by 197
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement and proof · cited by 83
- hnot_le_iff_codisjoint_leftproof · cited by 8
- hnot_le_iff_codisjoint_rightproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- hnot_antiproof · cited by 7
- hnot_le_iff_hnot_leproof · cited by 0
- hnot_hnot_sdiff_distribproof · cited by 0
- hnot_le_of_hnot_leproof · cited by 0