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Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.nearestPtInd.congr_simp

∀ {α : Type u_1} [inst : MeasurableSpace α] [inst_1 : PseudoEMetricSpace α] [inst_2 : OpensMeasurableSpace α]
  (e e_1 : ℕ → α),
  e = e_1 →
    ∀ (a a_1 : ℕ), a = a_1 → MeasureTheory.SimpleFunc.nearestPtInd e a = MeasureTheory.SimpleFunc.nearestPtInd e_1 a_1
Defined in
Mathlib.MeasureTheory.Function.SimpleFuncDense
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Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpacePseudoEMetricSpaceOpensMeasurableSpace
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MeasurableSpace · cited by 13106MeasurableSpacePseudoEMetricSpace · cited by 1536PseudoEMetricSpaceOpensMeasurableSpace · cited by 636OpensMeasurableSpaceMeasureTheory.SimpleFunc · cited by 411MeasureTheory.SimpleFuncMeasureTheory.SimpleFunc.nearestPtInd · cited by 6SimpleFunc.nearestPtIndnearestPtInd.congr_simpCITED BYCITES

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