Theorems · Theorem · measure theory
MeasurableEquiv.symm_comp_self
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] (e : α ≃ᵐ β), ⇑e.symm ∘ ⇑e = id- Cited by
- 11 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.symmstatement · cited by 155
- Equiv.left_invproof · cited by 59
- MeasurableEquiv.toEquivproof · cited by 37
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.MeasurePreserving.symmproof · cited by 43
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- MeasurableEquiv.map_symm_mapproof · cited by 3
- ProbabilityTheory.Kernel.map_partialTraj_succ_selfproof · cited by 1
- ProbabilityTheory.Kernel.prodAssoc_symm_prodproof · cited by 1
- MeasureTheory.Measure.setIntegral_comp_smulproof · cited by 1
- MeasureTheory.MeasurePreserving.comp_left_iffproof · cited by 1
- MeasurableEquiv.self_trans_symmproof · cited by 0
- ProbabilityTheory.HasCondDistrib.measurableEquiv_comp_rightproof · cited by 0
- MeasurableEquiv.quasiMeasurePreserving_symmproof · cited by 0
- ProbabilityTheory.condIndepFun_iff_condDistrib_prod_ae_eq_prodMkRightproof · cited by 0