Theorems · Theorem · order theory
hnot_hnot_sdiff_distrib
∀ {α : Type u_2} [inst : CoheytingAlgebra α] (a b : α), ￢￢(b \ a) = ￢￢b \ ￢￢a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.trans'proof · cited by 140
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement and proof · cited by 83
- ge_antisymmproof · cited by 51
- sdiff_le_iff'proof · cited by 20
- hnot_le_iff_codisjoint_leftproof · cited by 8
- le_sdiff_supproof · cited by 7
- hnot_antiproof · cited by 7
- hnot_inf_distribproof · cited by 6
- le_sup_sdiffproof · cited by 5
- hnot_le_commproof · cited by 4
- codisjoint_right_commproof · cited by 1
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