Mathlib Map

Theorems · Theorem · order theory

compl_symmDiff

∀ {α : Type u_2} [inst : BooleanAlgebra α] (a b : α), (symmDiff a b)ᶜ = bihimp a b
Defined in
Mathlib.Order.SymmDiff
Cited by
2 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
BooleanAlgebra
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Around this declaration

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

symmDiff_symmDiff_right' · cited by 0symmDiff_symmDiff_right'compl_bihimp · cited by 0compl_bihimpCompl.compl · cited by 2925Compl.complBooleanAlgebra · cited by 300BooleanAlgebrasymmDiff · cited by 236symmDiffHImp.himp · cited by 153HImp.himpinf_comm · cited by 139inf_commbihimp · cited by 81bihimpcompl_sup_distrib · cited by 5compl_sup_distribcompl_sdiff · cited by 3compl_sdiffcompl_symmDiffCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.