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theories/prob_lang.v

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@@ -879,9 +879,9 @@ Lemma bernoulli_andE t U :
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Proof.
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rewrite /bernoulli_and 3!letin_sample_bernoulli/= /mand/= muleDr//= -muleDl//.
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rewrite !muleA -addeA -muleDl// -!EFinM !onem1S/= -splitr mulr1.
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have -> : (1 / 2 * (1 / 2) = 1 / 4 :> R)%R by rewrite mulf_div mulr1// -natrM.
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have -> : (1 / 2 * (1 / 2) = 1 / 4%:R :> R)%R by rewrite mulf_div mulr1// -natrM.
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rewrite /bernoulli/= measure_addE/= /mscale/= -!EFinM; congr( _ + (_ * _)%:E).
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have -> : (1 / 2 = 2 / 4 :> R)%R.
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have -> : (1 / 2 = 2 / 4%:R :> R)%R.
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by apply/eqP; rewrite eqr_div// ?pnatr_eq0// mul1r -natrM.
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by rewrite onem1S// -mulrDl.
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Qed.

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