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Theorems · Theorem · order theory

inf_symmDiff_distrib_left

∀ {α : Type u_2} [inst : GeneralizedBooleanAlgebra α] (a b c : α), a ⊓ symmDiff b c = symmDiff (a ⊓ b) (a ⊓ c)
Defined in
Mathlib.Order.SymmDiff
Cited by
2 results in Mathlib
Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GeneralizedBooleanAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.inter_symmDiff_distrib_left · cited by 3Set.inter_symmDiff_distri…inf_symmDiff_distrib_right · cited by 1inf_symmDiff_distrib_rightsymmDiff · cited by 236symmDiffGeneralizedBooleanAlgebra · cited by 204GeneralizedBooleanAlgebrainf_sup_left · cited by 28inf_sup_leftsymmDiff_eq_sup_sdiff_inf · cited by 8symmDiff_eq_sup_sdiff_infinf_inf_distrib_left · cited by 3inf_inf_distrib_leftinf_sdiff_distrib_left · cited by 3inf_sdiff_distrib_leftinf_symmDiff_distrib_leftCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.