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Theorems · Theorem · order theory

Set.offDiag_union

∀ {α : Type u_1} {s t : Set α}, Disjoint s t → (s ∪ t).offDiag = s.offDiag ∪ t.offDiag ∪ s ×ˢ t ∪ t ×ˢ s
Defined in
Mathlib.Data.Set.Prod
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Finset.offDiag_union · cited by 0Finset.offDiag_unionSet · cited by 53352SetSet.ext · cited by 2266Set.extDisjoint · cited by 2201DisjointSProd.sprod · cited by 1750SProd.sprodSet.offDiag · cited by 35Set.offDiagDisjoint.ne_of_mem · cited by 11Disjoint.ne_of_memSet.offDiag_unionCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.