Theorems · Theorem · order theory
le_symmDiff_iff_left
∀ {α : Type u_2} [inst : GeneralizedBooleanAlgebra α] (a b : α), a ≤ symmDiff a b ↔ Disjoint a b- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GeneralizedBooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Disjointstatement and proof · cited by 2,201
- Eq.leproof · cited by 605
- le_sup_leftproof · cited by 265
- symmDiffstatement and proof · cited by 236
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- disjoint_iff_inf_leproof · cited by 64
- inf_le_of_left_leproof · cited by 17
- symmDiff_eq_sup_sdiff_infproof · cited by 8
- le_sdiff_rightproof · cited by 4
- Disjoint.symmDiff_eq_supproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- le_symmDiff_iff_rightproof · cited by 1
- bihimp_le_iff_leftproof · cited by 0