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Examples compatible with upcomming mathcomp 2.6.0 #84

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7 changes: 4 additions & 3 deletions examples/std/flt3_step.v
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Expand Up @@ -11,11 +11,12 @@
(* * see LICENSE file for the text of the license *)
(*****************************************************************************)

From mathcomp Require Import all_ssreflect all_algebra.
From mathcomp Require Import boot all_algebra.
From Trocq Require Import Stdlib Trocq.

Import GRing.Theory.
Open Scope ring_scope.
Unset SsrOldRewriteGoalsOrder.

Set Universe Polymorphism.

Expand Down Expand Up @@ -129,13 +130,13 @@ wlog : x / exists n, x = Posz n.
- rewrite modNz_nat //.
rewrite -[Posz (1 + _)%N - 1]/(2%int) -[(1 + _)%N]/(3%N) NegzE rmorphN /=.
rewrite -[_.+2]/(9%N) modn_dvdm //.
rewrite modnB //=; last by rewrite [_%:~R]Zp_nat ltnW.
rewrite modnB //=; first by rewrite [_%:~R]Zp_nat ltnW.
set x : 'I_9 := _.+1%:~R.
rewrite -[(9 %% 3)%N]/(0%N) addn0.
have {x} -> : x = (n.+1 %% 9)%N :> nat by rewrite {}/x [_%:~R]Zp_nat //.
rewrite modn_dvdm // modnS; case: ifP => //= hn.
- by rewrite mul0n subn0 -[n]/(n.+1.-1) modn_pred // hn.
- rewrite -[n]/(n.+1.-1) modn_pred // hn mul1n subSS subzn; last first.
- rewrite -[n]/(n.+1.-1) modn_pred // hn mul1n subSS subzn.
by apply: (@leq_trans (n.+1 %% 3)); rewrite ?leq_pred // -ltnS ltn_pmod.
rewrite [_%:~R]Zp_nat [LHS]modn_small //=.
by apply: (@leq_trans 3) => //; rewrite ltnS leq_subr.
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2 changes: 1 addition & 1 deletion examples/std/int_to_Zp.v
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Expand Up @@ -11,7 +11,7 @@
(* * see LICENSE file for the text of the license *)
(*****************************************************************************)

From mathcomp Require Import all_ssreflect all_algebra.
From mathcomp Require Import boot all_algebra.
From Trocq Require Import Stdlib Trocq.
Import GRing.Theory.
Local Open Scope bool_scope.
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2 changes: 1 addition & 1 deletion examples/std/square_and_cube_mod7.v
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Expand Up @@ -11,7 +11,7 @@
(* * see LICENSE file for the text of the license *)
(*****************************************************************************)

From mathcomp Require Import all_ssreflect all_algebra.
From mathcomp Require Import boot all_algebra.
From Trocq Require Import Stdlib Trocq.

Import GRing.Theory.
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