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Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.range_const_subset

∀ {β : Type u_2} (α : Type u_5) [inst : MeasurableSpace α] (b : β), (MeasureTheory.SimpleFunc.const α b).range ⊆ {b}
Defined in
Mathlib.MeasureTheory.Function.SimpleFunc
Cited by
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Around this declaration

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

MeasureTheory.SimpleFunc.integral_const · cited by 1SimpleFunc.integral_constFinset · cited by 13712FinsetMeasurableSpace · cited by 13106MeasurableSpaceFinset.coe_singleton · cited by 145Finset.coe_singletonMeasureTheory.SimpleFunc.range · cited by 97SimpleFunc.rangeFinset.coe_subset · cited by 93Finset.coe_subsetMeasureTheory.SimpleFunc.const · cited by 50SimpleFunc.constMeasureTheory.SimpleFunc.coe_range · cited by 11SimpleFunc.coe_rangeSimpleFunc.range_const_subsetCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.