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Adds measurable_expR and measurable function composition #1061

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Adds measurable_expR and measurable function composition #1061

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17fd5f8
Adds measurable_expR and measurable function composition
hoheinzollern Oct 16, 2023
4537548
Generalizes measurable_comp to two real types
hoheinzollern Oct 16, 2023
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9 changes: 9 additions & 0 deletions theories/lebesgue_integral.v
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Expand Up @@ -155,6 +155,15 @@ Lemma mfun_cst x : @cst_mfun x =1 cst x. Proof. by []. Qed.
HB.instance Definition _ := @isMeasurableFun.Build _ _ rT
(@normr rT rT) (@measurable_normr rT setT).

HB.instance Definition _ := isMeasurableFun.Build _ _ rT
(@expR rT) (@measurable_expR rT).

Let measurableT_comp_subproof {rT' : realType} (f : {mfun rT >-> rT'}) (g : {mfun aT >-> rT}) :
measurable_fun setT (f \o g).
Proof. by apply: measurableT_comp; last apply: @measurable_funP _ _ _ g. Qed.

HB.instance Definition _ {rT' : realType} (f : {mfun rT >-> rT'}) (g : {mfun aT >-> rT}) := isMeasurableFun.Build _ _ _ (f \o g) (@measurableT_comp_subproof _ _ _).

End mfun.

Section ring.
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