Theorems · Theorem · order theory
sdiff_sdiff_right
∀ {α : Type u} {x y z : α} [inst : GeneralizedBooleanAlgebra α], x \ (y \ z) = x \ y ⊔ x ⊓ y ⊓ z- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GeneralizedBooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botproof · cited by 4,720
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- inf_of_le_leftproof · cited by 186
- sup_commproof · cited by 165
- sup_of_le_rightproof · cited by 143
- inf_commproof · cited by 139
- inf_assocproof · cited by 53
- sup_assocproof · cited by 37
- bot_sup_eqproof · cited by 32
- inf_sup_leftproof · cited by 28
- inf_sup_rightproof · cited by 26
- sup_inf_leftproof · cited by 22
Cited by4
Results whose statement or proof uses this declaration.
- sdiff_sdiff_right_selfproof · cited by 20
- sdiff_sdiff_right'proof · cited by 2
- sdiff_sdiff_sup_sdiff'proof · cited by 1
- sdiff_sdiff_sup_sdiffproof · cited by 0