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Simplify proofs - #3
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…nprover-community#43837) This is a trivial lemma from unfolding the definition, but the main value here is to let `grind` make this forwards-reasoning step, without needing to actually unfold PairwiseDisjoint. For reviewers' convenience, the pattern here is ``` [ @Disjoint leanprover-community#11 leanprover-community#9 leanprover-community#8 _ _, -- the conclusion Disjoint (f i) (f j) @PairwiseDisjoint _ leanprover-community#10 _ _ leanprover-community#7 leanprover-community#6, -- the hypothesis s.PairwiseDisjoint f @Membership.mem _ _ _ leanprover-community#7 leanprover-community#4, -- i ∈ s @Membership.mem _ _ _ leanprover-community#7 #3 ] -- j ∈ s ```
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Proofs of
hasSum_descFactorial_mul_geometric_of_norm_lt_one',hasSum_pow_mul_geometric_of_norm_lt_one', andhasSum_sq_mul_geometric_of_norm_lt_one'have been shortened.