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fixes #1093
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affeldt-aist committed Nov 17, 2023
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3 changes: 3 additions & 0 deletions CHANGELOG_UNRELEASED.md
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Expand Up @@ -20,6 +20,9 @@

### Renamed

- in `exp.v`:
+ `lnX` -> `lnXn`

### Generalized

### Deprecated
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4 changes: 2 additions & 2 deletions theories/exp.v
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Expand Up @@ -243,7 +243,7 @@ suff Cc : lim
have Ckf := @is_cvg_seriesZ _ _ h^-1 C1.
have Cu : (series (h^-1 *: (shx h - sx)) - series s1) x0 @[x0 --> \oo] -->
lim (series (h^-1 *: (shx h - sx))) - lim (series s).
by apply: cvgB.
exact: cvgB.
set w := (fun n : nat => _ in RHS).
have -> : w = h^-1 *: (shx h - sx) - s1.
apply: funext => i; rewrite !fctE.
Expand Down Expand Up @@ -625,7 +625,7 @@ Proof. by move=> x y x_gt0 y_gt0; rewrite -ltr_expR !lnK. Qed.
Lemma ler_ln : {in Num.pos &, {mono ln : x y / x <= y}}.
Proof. by move=> x y x_gt0 y_gt0; rewrite -ler_expR !lnK. Qed.

Lemma lnX n x : 0 < x -> ln(x ^+ n) = ln x *+ n.
Lemma lnXn n x : 0 < x -> ln (x ^+ n) = ln x *+ n.
Proof.
move=> x_gt0; elim: n => [|n ih] /=; first by rewrite expr0 ln1 mulr0n.
by rewrite !exprS lnM ?qualifE// ?exprn_gt0// mulrS ih.
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