diff options
| author | Cyril Cohen | 2020-11-19 18:33:21 +0100 |
|---|---|---|
| committer | Cyril Cohen | 2020-11-19 21:38:46 +0100 |
| commit | e565f8d9bebd4fd681c34086d5448dbaebc11976 (patch) | |
| tree | 3e74907bf8e310b6400b7c340357ad44fc44a83f /mathcomp/algebra | |
| parent | 0dbefe01e54a467b7932a514355f0435b4cfb978 (diff) | |
Removing duplicate clears and turning the warning into an error
Diffstat (limited to 'mathcomp/algebra')
| -rw-r--r-- | mathcomp/algebra/Make | 2 | ||||
| -rw-r--r-- | mathcomp/algebra/intdiv.v | 8 | ||||
| -rw-r--r-- | mathcomp/algebra/matrix.v | 4 | ||||
| -rw-r--r-- | mathcomp/algebra/mxalgebra.v | 4 | ||||
| -rw-r--r-- | mathcomp/algebra/mxpoly.v | 6 | ||||
| -rw-r--r-- | mathcomp/algebra/poly.v | 2 | ||||
| -rw-r--r-- | mathcomp/algebra/rat.v | 4 | ||||
| -rw-r--r-- | mathcomp/algebra/ssralg.v | 18 | ||||
| -rw-r--r-- | mathcomp/algebra/ssrint.v | 2 | ||||
| -rw-r--r-- | mathcomp/algebra/ssrnum.v | 6 | ||||
| -rw-r--r-- | mathcomp/algebra/vector.v | 6 |
11 files changed, 31 insertions, 31 deletions
diff --git a/mathcomp/algebra/Make b/mathcomp/algebra/Make index 8d89b59..0d0629f 100644 --- a/mathcomp/algebra/Make +++ b/mathcomp/algebra/Make @@ -23,6 +23,6 @@ zmodp.v -arg -w -arg -projection-no-head-constant -arg -w -arg -redundant-canonical-projection -arg -w -arg -notation-overridden --arg -w -arg -duplicate-clear +-arg -w -arg +duplicate-clear -arg -w -arg -ambiguous-paths -arg -w -arg +undeclared-scope diff --git a/mathcomp/algebra/intdiv.v b/mathcomp/algebra/intdiv.v index 336b6df..3efe76d 100644 --- a/mathcomp/algebra/intdiv.v +++ b/mathcomp/algebra/intdiv.v @@ -934,7 +934,7 @@ wlog [j a'Mij]: m n M i Da le_mn / {j | ~~ (a %| M i j)%Z}; last first. do 2!rewrite /cofactor [row' _ _]mx11_scalar !mxE det_scalar1 /=. rewrite mulr1 mul1r mulN1r opprK -[_ + _](mulzK _ nz_b) mulrDl. by rewrite -!mulrA !divzK ?dvdz_gcdl ?dvdz_gcdr // Db divzz nz_b unitr1. - have{Db} Db: M1 i 0 = b. + have{} Db: M1 i 0 = b. rewrite /M1 -(lshift0 n 1) [U]block_mxEh mul_mx_row row_mxEl. rewrite -[M](@hsubmxK _ _ 2) (@mul_row_col _ _ 2) mulmx0 addr0 !mxE /=. rewrite big_ord_recl big_ord1 !mxE /= [lshift _ _]((_ =P 0) _) // Da. @@ -943,7 +943,7 @@ wlog [j a'Mij]: m n M i Da le_mn / {j | ~~ (a %| M i j)%Z}; last first. exists L => //; exists (R *m invmx U); last exists d => //. by rewrite unitmx_mul uR unitmx_inv. by rewrite mulmxA -dM1 mulmxK. -move=> {A leA IHa} IHa; wlog Di: i M Da / i = 0; last rewrite {i}Di in Da. +move=> {A leA}IHa; wlog Di: i M Da / i = 0; last rewrite {i}Di in Da. case/(_ 0 (xrow i 0 M)); rewrite ?mxE ?tpermR // => L uL [R uR [d dvD dM]]. exists (xrow i 0 L); first by rewrite xrowE unitmx_mul unitmx_perm. exists R => //; exists d; rewrite //= xrowE -!mulmxA (mulmxA L) -dM xrowE. @@ -982,7 +982,7 @@ without loss{nz_a a_dvM} a1: M a Da / a = 1. by rewrite !nth_default ?size_map ?mulr0. rewrite {a}a1 -[m.+1]/(1 + m)%N -[n.+1]/(1 + n)%N in M Da *. pose Mu := ursubmx M; pose Ml := dlsubmx M. -have{Da} Da: ulsubmx M = 1 by rewrite [_ M]mx11_scalar !mxE !lshift0 Da. +have{} Da: ulsubmx M = 1 by rewrite [_ M]mx11_scalar !mxE !lshift0 Da. pose M1 := - (Ml *m Mu) + drsubmx M. have [|L uL [R uR [d dvD dM1]]] := IHmn m n M1; first by rewrite -addnS ltnW. exists (block_mx 1 0 Ml L). @@ -1023,7 +1023,7 @@ have [L _ [G uG [D _ defK]]] := int_Smith_normal_form K. pose Gud := castmx (Dm, Em) G; pose G'lr := castmx (Em, Dm) (invmx G). have{K L D defK kerK} kerGu: map_mx intr (usubmx Gud) *m S = 0. pose Kl : 'M[rat]_k:= map_mx intr (lsubmx (castmx (Ek, Dm) (K *m invmx G))). - have{defK} defK: map_mx intr K = row_mx Kl 0 *m map_mx intr Gud. + have{} defK: map_mx intr K = row_mx Kl 0 *m map_mx intr Gud. rewrite -[K](mulmxKV uG) -{2}[G](castmxK Dm Em) -/Gud. rewrite -[K *m _](castmxK Ek Dm) map_mxM map_castmx. rewrite -(hsubmxK (castmx _ _)) map_row_mx -/Kl map_castmx /Em. diff --git a/mathcomp/algebra/matrix.v b/mathcomp/algebra/matrix.v index 77d2e4f..9b27ba7 100644 --- a/mathcomp/algebra/matrix.v +++ b/mathcomp/algebra/matrix.v @@ -1650,7 +1650,7 @@ Lemma diagmx_ind (P : forall m n, 'M_(m, n) -> Type) : forall m n A, is_diag_mx A -> P m n A. Proof. move=> P0l P0r PS m n A Adiag; have Atrig := is_diag_mx_is_trig Adiag. -elim/trigmx_ind: Atrig Adiag => // {m n} m n r c {A}A _ PA. +elim/trigmx_ind: Atrig Adiag => // {}m {}n r c {}A _ PA. rewrite is_diag_block_mx => // /and4P[_ /eqP-> _ Adiag]. exact: PS (PA _). Qed. @@ -1660,7 +1660,7 @@ Lemma diagsqmx_ind (P : forall n, 'M[V]_n -> Type) : (forall n x c A, is_diag_mx A -> P n A -> P (1 + n)%N (block_mx x 0 c A)) -> forall n A, is_diag_mx A -> P n A. Proof. -move=> P0 PS n A; elim/sqmx_ind: A => {n} [|n x r c] A PA. +move=> P0 PS n A; elim/sqmx_ind: A => [|{}n x r c] A PA. by rewrite thinmx0; apply: P0. rewrite is_diag_block_mx => // /and4P[/eqP-> /eqP-> _ Adiag]. exact: PS (PA _). diff --git a/mathcomp/algebra/mxalgebra.v b/mathcomp/algebra/mxalgebra.v index cc3c6c6..dde8843 100644 --- a/mathcomp/algebra/mxalgebra.v +++ b/mathcomp/algebra/mxalgebra.v @@ -885,7 +885,7 @@ Lemma eq_genmx m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) : (A :=: B -> <<A>> = <<B>>)%MS. Proof. move=> eqAB; rewrite unlock. -have{eqAB} eqAB: equivmx A (row_full A) =1 equivmx B (row_full B). +have{} eqAB: equivmx A (row_full A) =1 equivmx B (row_full B). by move=> C; rewrite /row_full /equivmx !eqAB. rewrite (eq_choose eqAB) (choose_id _ (genmx_witnessP B)) //. by rewrite -eqAB genmx_witnessP. @@ -1379,7 +1379,7 @@ Let capmx_norm_eq m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) : qidmx A = qidmx B -> (A == B)%MS -> capmx_norm A = capmx_norm B. Proof. move=> eqABid /eqmxP eqAB. -have{eqABid eqAB} eqAB: equivmx A (qidmx A) =1 equivmx B (qidmx B). +have{eqABid} eqAB: equivmx A (qidmx A) =1 equivmx B (qidmx B). by move=> C; rewrite /equivmx eqABid !eqAB. rewrite {1}/capmx_norm (eq_choose eqAB). by apply: choose_id; first rewrite -eqAB; apply: capmx_witnessP. diff --git a/mathcomp/algebra/mxpoly.v b/mathcomp/algebra/mxpoly.v index 19a23e6..625be60 100644 --- a/mathcomp/algebra/mxpoly.v +++ b/mathcomp/algebra/mxpoly.v @@ -175,13 +175,13 @@ have{Ss u} ->: Ss = Ss_ dS. apply/matrixP=> i j; rewrite mxE [in X in _ = X]mxE; case: (j == j0) => {j}//. apply/polyP=> k; rewrite coef_poly Sylvester_mxE mxE. have [k_ge_dS | k_lt_dS] := leqP dS k. - case: (split i) => {i}i; rewrite !mxE coefMXn; + case: (split i) => {}i; rewrite !mxE coefMXn; case: ifP => // /negbT; rewrite -ltnNge ltnS => hi. apply: (leq_sizeP _ _ (leqnn (size p))); rewrite -(ltn_predK p_nc). by rewrite ltn_subRL (leq_trans _ k_ge_dS) // ltn_add2r. - apply: (leq_sizeP _ _ (leqnn (size q))); rewrite -(ltn_predK q_nc). by rewrite ltn_subRL (leq_trans _ k_ge_dS) // addnC ltn_add2l. - by rewrite insubdK //; case: (split i) => {i}i; + by rewrite insubdK //; case: (split i) => {}i; rewrite !mxE coefMXn; case: leqP. case: (ubnPgeq dS) (dS_gt0); elim=> // dj IHj ltjS _; pose j1 := Ordinal ltjS. pose rj0T (A : 'M[{poly R}]_dS) := row j0 A^T. @@ -253,7 +253,7 @@ have le_q'_dq: size q' <= dq. by rewrite /dq -(size_scale q nz_k) q'r size_mul // addnC -def_r leq_addl. exists (row_mx (- c *: poly_rV q') (k *: poly_rV p')). apply: contraNneq r_nz; rewrite -row_mx0; case/eq_row_mx=> q0 p0. - have{p0} p0: p = 0. + have{} p0: p = 0. apply/eqP; rewrite -size_poly_eq0 -(size_scale p nz_c) p'r. rewrite -(size_scale _ nz_k) scalerAl -(poly_rV_K le_p'_dp) -linearZ p0. by rewrite linear0 mul0r size_poly0. diff --git a/mathcomp/algebra/poly.v b/mathcomp/algebra/poly.v index e3de209..c413171 100644 --- a/mathcomp/algebra/poly.v +++ b/mathcomp/algebra/poly.v @@ -2510,7 +2510,7 @@ have [|q' def_q] := factor_theorem q z _; last first. by exists q'; rewrite big_cons mulrA -def_q. rewrite {p}def_p in rpz. elim/last_ind: rs drs rpz => [|rs t IHrs] /=; first by rewrite big_nil mulr1. -rewrite all_rcons => /andP[/andP[/eqP czt Uzt] /IHrs {IHrs}IHrs]. +rewrite all_rcons => /andP[/andP[/eqP czt Uzt] /IHrs{}IHrs]. rewrite -cats1 big_cat big_seq1 /= mulrA rootE hornerM_comm; last first. by rewrite /comm_poly hornerXsubC mulrBl mulrBr czt. rewrite hornerXsubC -opprB mulrN oppr_eq0 -(mul0r (t - z)). diff --git a/mathcomp/algebra/rat.v b/mathcomp/algebra/rat.v index 7945265..3db328d 100644 --- a/mathcomp/algebra/rat.v +++ b/mathcomp/algebra/rat.v @@ -294,7 +294,7 @@ Proof. by move=> x y /=; rewrite !ratz_frac mulq_frac // /= !mulr1. Qed. Fact invq_frac x : x.1 != 0 -> x.2 != 0 -> invq (fracq x) = fracq (invq_subdef x). Proof. -by rewrite /invq_subdef; case: fracqP => // k {x} x k0; rewrite fracqMM. +by rewrite /invq_subdef; case: fracqP => // k {}x k0; rewrite fracqMM. Qed. Fact mulqC : commutative mulq. @@ -357,7 +357,7 @@ Canonical rat_countFieldType := [countFieldType of rat]. Lemma numq_eq0 x : (numq x == 0) = (x == 0). Proof. -rewrite -[x]valqK fracq_eq0; case: fracqP=> /= [|k {x} x k0]. +rewrite -[x]valqK fracq_eq0; case: fracqP=> /= [|k {}x k0]. by rewrite eqxx orbT. by rewrite !mulf_eq0 (negPf k0) /= denq_eq0 orbF. Qed. diff --git a/mathcomp/algebra/ssralg.v b/mathcomp/algebra/ssralg.v index 455a79e..fa952bb 100644 --- a/mathcomp/algebra/ssralg.v +++ b/mathcomp/algebra/ssralg.v @@ -4233,22 +4233,22 @@ Proof. suffices eq0_ring t1: rformula (eq0_rform t1) by elim: f => //= => f1 ->. rewrite /eq0_rform; move: (ub_var t1) => m; set tr := _ m. suffices: all rterm (tr.1 :: tr.2). - case: tr => {t1} t1 r /= /andP[t1_r]. + case: tr => {}t1 r /= /andP[t1_r]. by elim: r m => [|t r IHr] m; rewrite /= ?andbT // => /andP[->]; apply: IHr. have: all rterm [::] by []. rewrite {}/tr; elim: t1 [::] => //=. - move=> t1 IHt1 t2 IHt2 r. - move/IHt1; case: to_rterm => {t1 r IHt1} t1 r /= /andP[t1_r]. - move/IHt2; case: to_rterm => {t2 r IHt2} t2 r /= /andP[t2_r]. + move/IHt1; case: to_rterm => {r IHt1}t1 r /= /andP[t1_r]. + move/IHt2; case: to_rterm => {r IHt2}t2 r /= /andP[t2_r]. by rewrite t1_r t2_r. - by move=> t1 IHt1 r /IHt1; case: to_rterm. - by move=> t1 IHt1 n r /IHt1; case: to_rterm. - move=> t1 IHt1 t2 IHt2 r. - move/IHt1; case: to_rterm => {t1 r IHt1} t1 r /= /andP[t1_r]. - move/IHt2; case: to_rterm => {t2 r IHt2} t2 r /= /andP[t2_r]. + move/IHt1; case: to_rterm => {r IHt1}t1 r /= /andP[t1_r]. + move/IHt2; case: to_rterm => {r IHt2}t2 r /= /andP[t2_r]. by rewrite t1_r t2_r. - move=> t1 IHt1 r. - by move/IHt1; case: to_rterm => {t1 r IHt1} t1 r /=; rewrite all_rcons. + by move/IHt1; case: to_rterm => {r IHt1}t1 r /=; rewrite all_rcons. - by move=> t1 IHt1 n r /IHt1; case: to_rterm. Qed. @@ -4317,7 +4317,7 @@ elim: t r0 m => /=; try do [ by move=> n r m hlt hub; rewrite take_size (ltn_addr _ hlt) rsub_id | by move=> n r m hlt hub; rewrite leq0n take_size rsub_id | move=> t1 IHt1 t2 IHt2 r m; rewrite geq_max; case/andP=> hub1 hub2 hmr; - case: to_rterm {IHt1 hub1 hmr}(IHt1 r m hub1 hmr) => t1' r1; + case: to_rterm {hub1 hmr}(IHt1 r m hub1 hmr) => t1' r1; case=> htake1 hub1' hsub1 <-; case: to_rterm {IHt2 hub2 hsub1}(IHt2 r1 m hub2 hsub1) => t2' r2 /=; rewrite geq_max; case=> htake2 -> hsub2 /= <-; @@ -4327,8 +4327,8 @@ elim: t r0 m => /=; try do [ first by [rewrite takel_cat // -htake1 size_take geq_min leqnn orbT]; rewrite -(rsub_acc r1 r3 t1') {hub1'}// -{htake1}htake2 {r3}cat_take_drop; by elim: r2 m => //= u r2 IHr2 m; rewrite IHr2 -| do [ move=> t1 IHt1 r m; do 2!move/IHt1=> {IHt1}IHt1 - | move=> t1 IHt1 n r m; do 2!move/IHt1=> {IHt1}IHt1]; +| do [ move=> t1 IHt1 r m; do 2!move=> /IHt1{}IHt1 + | move=> t1 IHt1 n r m; do 2!move=> /IHt1{}IHt1]; case: to_rterm IHt1 => t1' r1 [-> -> hsub1 <-]; split=> {hsub1}//; by elim: r1 m => //= u r1 IHr1 m; rewrite IHr1]. move=> t1 IH r m letm /IH {IH} /(_ letm) {letm}. diff --git a/mathcomp/algebra/ssrint.v b/mathcomp/algebra/ssrint.v index aa899b2..e234504 100644 --- a/mathcomp/algebra/ssrint.v +++ b/mathcomp/algebra/ssrint.v @@ -410,7 +410,7 @@ Proof. by case: m; first case. Qed. Lemma subz_ge0 m n : lez 0 (n - m) = lez m n. Proof. -case: (intP m); case: (intP n)=> // {m n} m n /=; +case: (intP m); case: (intP n)=> // {}m {}n /=; rewrite ?ltnS -?opprD ?opprB ?subzSS; case: leqP=> // hmn; by [ rewrite subzn // | rewrite -opprB subzn ?(ltnW hmn) //; diff --git a/mathcomp/algebra/ssrnum.v b/mathcomp/algebra/ssrnum.v index 7da7ebc..4bb7a5a 100644 --- a/mathcomp/algebra/ssrnum.v +++ b/mathcomp/algebra/ssrnum.v @@ -3468,7 +3468,7 @@ pose cmp_mu s := [pred i | s * mu < s * En i]. have{Enonconstant} has_cmp_mu e (s := (-1) ^+ e): {i | i \in A & cmp_mu s i}. apply/sig2W/exists_inP; apply: contraR Enonconstant => /exists_inPn-mu_s_A. have n_gt0 i: i \in A -> (0 < n)%N by rewrite [n](cardD1 i) => ->. - have{mu_s_A} mu_s_A i: i \in A -> s * En i <= s * mu. + have{} mu_s_A i: i \in A -> s * En i <= s * mu. move=> Ai; rewrite real_leNgt ?mu_s_A ?rpredMsign ?ger0_real ?Ege0 //. by rewrite -(pmulrn_lge0 _ (n_gt0 i Ai)) -sumrMnl sumr_ge0. have [_ /esym/eqfun_inP] := leif_sum (fun i Ai => leif_eq (mu_s_A i Ai)). @@ -4305,7 +4305,7 @@ Qed. Lemma sqrtrM a b : 0 <= a -> sqrt (a * b) = sqrt a * sqrt b. Proof. -case: (sqrtrP a) => // {a} a a_ge0 _; case: (sqrtrP b) => [b_lt0 | {b} b b_ge0]. +case: (sqrtrP a) => // {}a a_ge0 _; case: (sqrtrP b) => [b_lt0 | {}b b_ge0]. by rewrite mulr0 ler0_sqrtr // nmulr_lle0 ?mulr_ge0. by rewrite mulrACA sqrtr_sqr ger0_norm ?mulr_ge0. Qed. @@ -4415,7 +4415,7 @@ have sz_p: size p = n.+1. rewrite size_addl ?size_polyXn // ltnS size_opp size_polyC mulrn_eq0. by case: posnP => //; case: negP. pose r := sort argCle r0; have r_arg: sorted argCle r by apply: sort_sorted. -have{Dp} Dp: p = \prod_(z <- r) ('X - z%:P). +have{} Dp: p = \prod_(z <- r) ('X - z%:P). rewrite Dp lead_coefE sz_p coefB coefXn coefC -mulrb -mulrnA mulnb lt0n andNb. by rewrite subr0 eqxx scale1r; apply/esym/perm_big; rewrite perm_sort. have mem_rP z: (n > 0)%N -> reflect (z ^+ n = x) (z \in r). diff --git a/mathcomp/algebra/vector.v b/mathcomp/algebra/vector.v index e02aaef..76bec6f 100644 --- a/mathcomp/algebra/vector.v +++ b/mathcomp/algebra/vector.v @@ -1101,7 +1101,7 @@ Lemma free_span X v (sumX := fun k => \sum_(x <- X) k x *: x) : Proof. rewrite -{2}[X]in_tupleE => freeX /coord_span def_v. pose k x := oapp (fun i => coord (in_tuple X) i v) 0 (insub (index x X)). -exists k => [|k1 {def_v}def_v _ /(nthP 0)[i ltiX <-]]. +exists k => [|k1 {}def_v _ /(nthP 0)[i ltiX <-]]. rewrite /sumX (big_nth 0) big_mkord def_v; apply: eq_bigr => i _. by rewrite /k index_uniq ?free_uniq // valK. rewrite /k /= index_uniq ?free_uniq // insubT //= def_v. @@ -1627,7 +1627,7 @@ Proof. by apply: (iffP subvP) => cUf x /cUf/fixedSpaceP. Qed. Lemma fixedSpace_limg f U : (U <= fixedSpace f -> f @: U = U)%VS. Proof. move/fixedSpacesP=> cUf; apply/vspaceP=> x. -by apply/memv_imgP/idP=> [[{x} x Ux ->] | Ux]; last exists x; rewrite ?cUf. +by apply/memv_imgP/idP=> [[{}x Ux ->] | Ux]; last exists x; rewrite ?cUf. Qed. Lemma fixedSpace_id : fixedSpace \1 = {:vT}%VS. @@ -1862,7 +1862,7 @@ Lemma sumv_pi_uniq_sum v : \sum_(i <- r0 | P i) sumv_pi_for defV i v = v. Proof. rewrite /sumv_pi_for defV -!(big_filter r0 P). -elim: (filter P r0) v => [|i r IHr] v /= => [_ | /andP[r'i /IHr{IHr}IHr]]. +elim: (filter P r0) v => [|i r IHr] v /= => [_ | /andP[r'i /IHr{}IHr]]. by rewrite !big_nil memv0 => /eqP. rewrite !big_cons eqxx => /addv_pi1_pi2; congr (_ + _ = v). rewrite -[_ v]IHr ?memv_pi2 //; apply: eq_big_seq => j /=. |
