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Commit 8910228

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chore(data/polynomial): use dot notation for sub lemmas (#13799)
To match the additive versions
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src/data/polynomial/monic.lean

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@@ -376,11 +376,11 @@ begin
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nat_degree_one]
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end
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lemma monic_sub_of_left {p q : R[X]} (hp : monic p) (hpq : degree q < degree p) :
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lemma monic.sub_of_left {p q : R[X]} (hp : monic p) (hpq : degree q < degree p) :
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monic (p - q) :=
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by { rw sub_eq_add_neg, apply hp.add_of_left, rwa degree_neg }
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lemma monic_sub_of_right {p q : R[X]}
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lemma monic.sub_of_right {p q : R[X]}
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(hq : q.leading_coeff = -1) (hpq : degree p < degree q) : monic (p - q) :=
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have (-q).coeff (-q).nat_degree = 1 :=
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by rw [nat_degree_neg, coeff_neg, show q.coeff q.nat_degree = -1, from hq, neg_neg],

src/ring_theory/power_basis.lean

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@@ -209,7 +209,7 @@ nat_degree_eq_of_degree_eq_some pb.degree_minpoly_gen
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lemma minpoly_gen_monic (pb : power_basis A S) : monic (minpoly_gen pb) :=
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begin
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apply monic_sub_of_left (monic_X_pow _) _,
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apply (monic_X_pow _).sub_of_left _,
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rw degree_X_pow,
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exact degree_sum_fin_lt _
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end

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