Theorems · Theorem · measure theory

MeasureTheory.Measure.sum_extend_zero

∀ {α : Type u_1} {m0 : MeasurableSpace α} {ι : Type u_8} {ι' : Type u_9} {f : ι → ι'},
  Function.Injective f →
    ∀ (m : ι → MeasureTheory.Measure α), MeasureTheory.Measure.sum (Function.extend f m 0) = MeasureTheory.Measure.sum m

Defined in: Mathlib.MeasureTheory.Measure.MeasureSpace
Cited by: 1 results in Mathlib
Foundations: Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound

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

DFunLike.coeproof · cited by 62,936
Setproof · cited by 53,352
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
MeasurableSetproof · cited by 3,075
SummationFilter.unconditionalproof · cited by 2,068
tsumproof · cited by 1,148
MeasureTheory.Measure.extproof · cited by 308
MeasureTheory.Measure.sumstatement · cited by 121
Function.extendstatement and proof · cited by 111
MeasureTheory.Measure.sum_applyproof · cited by 50
Function.apply_extendproof · cited by 3

Cited by1

Results whose statement or proof uses this declaration.

MeasureTheory.sfinite_sum_of_countableproof · cited by 0