diff options
| author | Georges Gonthier | 2015-12-01 13:47:13 +0000 |
|---|---|---|
| committer | Georges Gonthier | 2015-12-04 15:07:19 +0000 |
| commit | 058ec3b9957553cdc8a82dae6d50f48d559f4fe4 (patch) | |
| tree | 9fa597a0cbc7fa07fb6dab47a1f55ba1c5e5effe /mathcomp/character/mxabelem.v | |
| parent | 8318a8215baa3c79bfabbff160f9a925c6d8219a (diff) | |
Add elementary abelian finite modules lemmas to abelian
This factors proofs in mxabelem and finfield and removes
dependencies between these two files.
Diffstat (limited to 'mathcomp/character/mxabelem.v')
| -rw-r--r-- | mathcomp/character/mxabelem.v | 6 |
1 files changed, 1 insertions, 5 deletions
diff --git a/mathcomp/character/mxabelem.v b/mathcomp/character/mxabelem.v index aae2899..aa14808 100644 --- a/mathcomp/character/mxabelem.v +++ b/mathcomp/character/mxabelem.v @@ -427,11 +427,7 @@ Variables p m n : nat. Local Notation Mmn := 'M['F_p]_(m, n). Lemma mx_Fp_abelem : prime p -> p.-abelem [set: Mmn]. -Proof. -move=> p_pr; apply/abelemP=> //; rewrite zmod_abelian. -split=> //= v _; rewrite zmodXgE -scaler_nat. -by case/andP: (char_Fp p_pr) => _ /eqP->; rewrite scale0r. -Qed. +Proof. exact: fin_Fp_lmod_abelem. Qed. Lemma mx_Fp_stable (L : {group Mmn}) : [acts setT, on L | 'Zm]. Proof. |