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Theorems · Theorem · order theory

Disjoint.symmDiff_eq_sup

∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b : α}, Disjoint a b → symmDiff a b = a ⊔ b
Defined in
Mathlib.Order.SymmDiff
Cited by
3 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
GeneralizedCoheytingAlgebra
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Around this declaration

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

le_symmDiff_iff_left · cited by 2le_symmDiff_iff_leftsymmDiff_eq_sup · cited by 2symmDiff_eq_supFinset.symmDiff_eq_union · cited by 0Finset.symmDiff_eq_unionDisjoint · cited by 2201DisjointsymmDiff · cited by 236symmDiffGeneralizedCoheytingAlgebra · cited by 95GeneralizedCoheytingAlgeb…Disjoint.sdiff_eq_left · cited by 19Disjoint.sdiff_eq_leftDisjoint.sdiff_eq_right · cited by 6Disjoint.sdiff_eq_rightDisjoint.symmDiff_eq_supCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.