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Theorems · Theorem · order theory

symmDiff_le_sup

∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b : α}, symmDiff a b ≤ a ⊔ b
Defined in
Mathlib.Order.SymmDiff
Cited by
3 results in Mathlib
Foundations
Depth 10 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.

Set.symmDiff_subset_union · cited by 2Set.symmDiff_subset_unionsymmDiff_sup_inf · cited by 2symmDiff_sup_infFinset.symmDiff_subset_union · cited by 0Finset.symmDiff_subset_un…symmDiff · cited by 236symmDiffGeneralizedCoheytingAlgebra · cited by 95GeneralizedCoheytingAlgeb…sup_le_sup · cited by 48sup_le_supsdiff_le · cited by 36sdiff_lesymmDiff_le_supCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.