Theorems · Theorem · order theory
inf_sdiff_assoc
∀ {α : Type u} [inst : GeneralizedBooleanAlgebra α] (x y z : α), (x ⊓ y) \ z = x ⊓ y \ zSee also sdiff_inf_right_comm.
- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 52 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.
Cites8
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_assocproof · cited by 53
- inf_sup_leftproof · cited by 28
- inf_bot_eqproof · cited by 14
- sup_inf_sdiffproof · cited by 13
- inf_inf_sdiffproof · cited by 8
- sdiff_uniqueproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Set.inter_sdiff_assocproof · cited by 12
- inf_sdiff_distrib_leftproof · cited by 3
- sdiff_inf_right_commproof · cited by 3
- Finset.inter_sdiff_assocproof · cited by 1
- disjoint_sdiff_commproof · cited by 0