Theorems · Theorem · order theory
symmDiff_triangle
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] (a b c : α), symmDiff a c ≤ symmDiff a b ⊔ symmDiff b c- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.trans_eqproof · cited by 328
- symmDiffstatement and proof · cited by 236
- sup_commproof · cited by 165
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_le_supproof · cited by 48
- sup_sup_sup_commproof · cited by 12
- sdiff_triangleproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_symmDiff_leproof · cited by 4
- le_symmDiff_sup_rightproof · cited by 2
- MeasureTheory.Measure.MeasureDense.of_generateFrom_isSetAlgebra_finiteproof · cited by 1
- Set.Finite.symmDiff_congrproof · cited by 0
- MeasureTheory.measureReal_symmDiff_leproof · cited by 0