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LeanCamCombi/Kneser/Kneser.lean

Lines changed: 2 additions & 2 deletions
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@@ -177,7 +177,7 @@ lemma disjoint_mul_sub_card_le (b : G) (has : a ∈ s) (hCfin : C.Finite) (hsfin
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· simp at hsC
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subst t
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have hs : s.Nonempty := ⟨a, has⟩
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simp [hs]
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simp [hs, coset]
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have hstabCfin : (Stab C : Set G).Finite := stabilizer_finite hC hCfin
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calc
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(#(Stab C) : ℤ) - #(coset C s a * Stab (coset C s a * coset C t b))
@@ -212,7 +212,7 @@ lemma disjoint_mul_sub_card_le (b : G) (has : a ∈ s) (hCfin : C.Finite) (hsfin
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@[to_additive]
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lemma inter_mul_sub_card_le {a : G} {s t C : Set G} (has : a ∈ s) (hC : C.Nonempty)
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(hst : Stab (coset C s a * coset C t a) ⊆ Stab C) :
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(#(Stab C) : ℤ) - #(coset C s a * Stab (coset C s a * coset C t a)) -
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(#(Stab C) : ℤ) - #(coset C s a * Stab (coset C s a * coset C t a)) -
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#(↑t ∩ a • Stab C * Stab (coset C s a * coset C t a)) ≤
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#((s ∪ t) * Stab C) - #((s ∪ t) * Stab (coset C s a * coset C t a)) := by
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calc

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