Theorems · Theorem · order theory
hnot_hnot_sup_distrib
∀ {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 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Eq.geproof · cited by 375
- Codisjointproof · cited by 197
- sup_commproof · cited by 165
- LE.le.trans'proof · cited by 140
- LE.le.antisymm'proof · cited by 104
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement and proof · cited by 83
- hnot_le_iff_codisjoint_leftproof · cited by 8
- codisjoint_hnot_rightproof · cited by 7
- hnot_antiproof · cited by 7
- hnot_inf_distribproof · cited by 6
- codisjoint_assocproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- hnot_hnot_sdiff_distribproof · cited by 0