Theorems · Theorem · order theory
symmDiff_self
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] (a : α), symmDiff a a = ⊥- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- symmDiffstatement · cited by 236
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sdiff_selfproof · cited by 38
- sup_idemproof · cited by 29
Cited by8
Results whose statement or proof uses this declaration.
- symmDiff_symmDiff_cancel_leftproof · cited by 2
- MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetRingproof · cited by 2
- symmDiff_symmDiff_cancel_rightproof · cited by 1
- MeasureTheory.Measure.MeasureDense.of_generateFrom_isSetAlgebra_finiteproof · cited by 1
- IsAddFoelner.univ_of_isFiniteMeasureproof · cited by 0
- MeasureTheory.measureDense_measurableSetproof · cited by 0
- IsFoelner.univ_of_isFiniteMeasureproof · cited by 0
- MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_leproof · cited by 0