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Theorems · Theorem · order theory

iSup_symmDiff_le

∀ {α : Type u} {ι : Sort w} [inst : CompleteBooleanAlgebra α] {f : ι → α} [Nonempty ι] {a : α},
  symmDiff (⨆ i, f i) a ≤ ⨆ i, symmDiff (f i) a
Defined in
Mathlib.Order.CompleteBooleanAlgebra
Cited by
3 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompleteBooleanAlgebraNonempty
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Around this declaration

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

sSup_symmDiff_le · cited by 3sSup_symmDiff_lesymmDiff_iSup_le · cited by 1symmDiff_iSup_leSet.iUnion_symmDiff_subset · cited by 0Set.iUnion_symmDiff_subsetiSup · cited by 2415iSupsymmDiff · cited by 236symmDiffCompleteBooleanAlgebra · cited by 32CompleteBooleanAlgebraiSup_const · cited by 13iSup_constiSup_symmDiff_iSup_le · cited by 3iSup_symmDiff_iSup_leiSup_symmDiff_leCITED BYCITES

Cites5

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Cited by3

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