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| author |  Yves Bertot <Yves.Bertot@inria.fr> | 2017-09-06 08:39:06 +0200 |
|---|---|---|
| committer | Yves Bertot <Yves.Bertot@inria.fr> | 2017-09-06 08:39:06 +0200 |
| commit | 2d137819572c4307b34bfdbdcf4ad0dc9ab240f3 (patch) | |
| tree | 143870f1d7962715d23927e4d09c25d9a2327f79 /theories/Reals/RIneq.v | |
| parent | df6ae3d59af8f880a0411217b8e6f0dae0b92133 (diff) | |
changed statements of Rpower_lt and Rle_power and added
Rlt_Rpower_l and pow_INR.
Unfortunately theorems Rpower_lt and Rle_power are named inconsistently,
in spite of their similarity.
Diffstat (limited to 'theories/Reals/RIneq.v')
| -rw-r--r-- | theories/Reals/RIneq.v | 3 |
1 files changed, 3 insertions, 0 deletions
diff --git a/theories/Reals/RIneq.v b/theories/Reals/RIneq.v index 7bcd2799a..bc82c3712 100644 --- a/theories/Reals/RIneq.v +++ b/theories/Reals/RIneq.v @@ -1611,6 +1611,9 @@ Proof. Qed. Hint Resolve mult_INR: real. +Lemma pow_INR (m n: nat) : INR (m ^ n) = pow (INR m) n. +Proof. now induction n as [|n IHn];[ | simpl; rewrite mult_INR, IHn]. Qed. + (*********) Lemma lt_0_INR : forall n:nat, (0 < n)%nat -> 0 < INR n. Proof. |