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Update reals/reals.v
Co-authored-by: Quentin VERMANDE <[email protected]>
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reals/reals.v

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@@ -662,9 +662,9 @@ Proof.
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move=> A0.
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pose B : set int := [set x%:~R | x in A].
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have B0 : B !=set0 by apply: image_nonempty.
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have : lbound B 0 by move=> _ [b0 Bb0 <-]; rewrite ler0z.
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have: lbound B 0 by move=> _ [b0 Bb0 <-]; rewrite ler0z.
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move/(int_lbound_has_minimum B0) => [_ [[i Ai <-]]] Bi.
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exists i; split => // k Bk.
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exists i; split=> // k Bk.
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by have := Bi k%:~R; rewrite ler_int; apply; exists k.
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Qed.
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