Theorems · Theorem · measure theory
Measurable.const_add
∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Add M] {m : MeasurableSpace α} {f : α → M}
[MeasurableAdd M], Measurable f → ∀ (c : M), Measurable fun x => c + f x- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement and proof · cited by 1,499
- Measurable.compproof · cited by 234
- MeasurableAddstatement and proof · cited by 78
- MeasurableAdd.measurable_const_addproof · cited by 11
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.conv_absolutelyContinuousproof · cited by 3
- integrable_rpow_neg_one_add_norm_sqproof · cited by 2
- MeasureTheory.Measure.addHaar_eq_zero_of_disjoint_translates_auxproof · cited by 1
- finite_integral_one_add_normproof · cited by 1
- Measurable.simpleFunc_addproof · cited by 1
- ProbabilityTheory.gaussianReal_map_const_subproof · cited by 1
- integrable_one_add_normproof · cited by 1
- MeasureTheory.Measure.IsAddLeftInvariant.comapproof · cited by 0
- MeasureTheory.Measure.conv_assocproof · cited by 0