Theorems · Theorem · order theory
sdiff_sdiff_sdiff_cancel_right
∀ {α : Type u} {x y z : α} [inst : GeneralizedBooleanAlgebra α], z ≤ y → (x \ z) \ (y \ z) = x \ y- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 1 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Disjoint.mono_rightproof · cited by 64
- le_antisymm_iffproof · cited by 62
- sdiff_leproof · cited by 36
- disjoint_sdiff_self_leftproof · cited by 21
- sdiff_le_sdiff_leftproof · cited by 6
- sdiff_le_commproof · cited by 3
- sdiff_sdiff_sdiff_le_sdiffproof · cited by 3
- Disjoint.le_sdiff_of_le_leftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Colex.toColex_sdiff_le_toColex_sdiffproof · cited by 2