Theorems · Theorem · order theory
hnot_inf_distrib
∀ {α : Type u_2} [inst : CoheytingAlgebra α] (a b : α), ￢(a ⊓ b) = ￢a ⊔ ￢b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 6 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.
- Top.topproof · cited by 9,680
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement · cited by 83
- top_sdiff'proof · cited by 13
- sdiff_inf_distribproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- compl_infproof · cited by 12
- Coheyting.hnot_boundaryproof · cited by 3
- Coheyting.boundary_infproof · cited by 1
- hnot_hnot_sup_distribproof · cited by 1
- hnot_hnot_sdiff_distribproof · cited by 0
- hnot_infproof · cited by 0