Theorems · Theorem · order theory
inf_sdiff_distrib_left
∀ {α : Type u} [inst : GeneralizedBooleanAlgebra α] (a b c : α), a ⊓ b \ c = (a ⊓ b) \ (a ⊓ c)- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 3 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- inf_le_leftproof · cited by 286
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- bot_sup_eqproof · cited by 32
- sdiff_eq_bot_iffproof · cited by 10
- inf_sdiff_assocproof · cited by 5
- sdiff_infproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- inf_symmDiff_distrib_leftproof · cited by 2
- Set.inter_sdiff_distrib_leftproof · cited by 2
- inf_sdiff_distrib_rightproof · cited by 1