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proux01 committed Sep 23, 2023
1 parent 996d01f commit 1c17b98
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2 changes: 1 addition & 1 deletion theories/PFsection10.v
Original file line number Diff line number Diff line change
Expand Up @@ -539,7 +539,7 @@ have odd_zeta_g: (zeta^\tau1 g == 1 %[mod 2])%C.
pose eW1 := [pred i : Iirr W1 | conjC_Iirr i < i]%N.
rewrite (bigID eW1) (reindex_inj (can_inj (@conjC_IirrK _ _))) /=.
set s1 := \sum_(i | _) _; set s2 := \sum_(i | _) _; suffices ->: s1 = s2.
by rewrite -mulr2n addrC -(mulr_natr _ 2) eqCmod_addl_mul ?rpred_sum.
by rewrite -mulr2n addrC -[X in X + 1]mulr_natr eqCmod_addl_mul ?rpred_sum.
apply/eq_big=> [i | i _].
rewrite (canF_eq (@conjC_IirrK _ _)) conjC_Iirr0 conjC_IirrK -leqNgt.
rewrite ltn_neqAle val_eqE -irr_eq1 (eq_sym i) -(inj_eq irr_inj) andbA.
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2 changes: 1 addition & 1 deletion theories/PFsection7.v
Original file line number Diff line number Diff line change
Expand Up @@ -515,7 +515,7 @@ Proof.
move=> [Zphi Rphi] [Zpsi Rpsi]; rewrite cfdot_vchar_r // (bigD1 (0 : 'I__)) //=.
rewrite addrC -irr0 (bigID [pred i | conjC_Iirr i < i]%N) /=.
set a1 := \sum_(i | _) _; set a2 := \sum_(i | _) _; suffices ->: a1 = a2.
rewrite -mulr2n -mulr_natr (rpredDl _ (dvdC_mull _ _)) //; last first.
rewrite -mulr2n -[_ *+ 2]mulr_natr (rpredDl _ (dvdC_mull _ _)) //; last first.
by rewrite rpred_sum // => i; rewrite rpredM ?Cint_cfdot_vchar_irr.
have /CintP[m1 ->] := Cint_cfdot_vchar_irr 0 Zphi.
have /CintP[m2 ->] := Cint_cfdot_vchar_irr 0 Zpsi.
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