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Fill scalar multiplication of finitely additive measures #700

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Fill scalar multiplication of finitely additive measures #700

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8 changes: 5 additions & 3 deletions Analysis/MeasureTheory/Section_1_4_3.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -85,9 +85,11 @@ noncomputable instance FinitelyAdditiveMeasure.instSmul {X:Type*} {B: ConcreteBo
smul := fun c μ =>
{
measure := fun A => c * μ.measure A
measure_pos := by sorry
measure_empty := by sorry
measure_finite_additive := by sorry
measure_pos := fun A hA => mul_nonneg (zero_le _) (μ.measure_pos A hA)
measure_empty := by simp [μ.measure_empty]
measure_finite_additive := fun E F hE hF hdisj => by
simp [μ.measure_finite_additive E F hE hF hdisj]
exact mul_add (c : EReal) _ _
}
}

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