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Theorems · Definition · measure theory

MeasurableEquiv.neg

(G : Type u_4) → [inst : MeasurableSpace G] → [inst_1 : InvolutiveNeg G] → [MeasurableNeg G] → G ≃ᵐ G

Negation as a measurable automorphism of an additive group.

Defined in
Mathlib.MeasureTheory.Group.MeasurableEquiv
Cited by
8 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
MeasurableSpaceInvolutiveNegMeasurableNeg
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.integral_neg_eq_self · cited by 4MeasureTheory.integral_ne…MeasureTheory.IntegrableOn.comp_neg · cited by 4IntegrableOn.comp_negMeasureTheory.Measure.neg_apply · cited by 3Measure.neg_applyMeasureTheory.Measure.neg_neg · cited by 3Measure.neg_negMeasureTheory.lintegral_neg_eq_self · cited by 2MeasureTheory.lintegral_n…MeasurableEquiv.neg_apply · cited by 2MeasurableEquiv.neg_applyMeasurableEquiv.symm_neg · cited by 0MeasurableEquiv.symm_negMeasurableEquiv.neg_toEquiv · cited by 0MeasurableEquiv.neg_toEqu…MeasurableSpace · cited by 13106MeasurableSpaceEquiv · cited by 8337EquivMeasurableEquiv · cited by 269MeasurableEquivInvolutiveNeg · cited by 151InvolutiveNegMeasurableNeg · cited by 130MeasurableNegEquiv.neg · cited by 53Equiv.negMeasurableEquiv.negCITED BYCITES

Cites6

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

Cited by8

Results whose statement or proof uses this declaration.