Theorems · Theorem · order theory
le_hnot_inf_hnot
∀ {α : Type u_2} [inst : CoheytingAlgebra α] {a b : α}, ￢(a ⊔ b) ≤ ￢a ⊓ ￢b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- CoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_sup_leftproof · cited by 265
- le_sup_rightproof · cited by 242
- le_infproof · cited by 107
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement and proof · cited by 83
- hnot_antiproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- hnot_hnot_sup_distribproof · cited by 1