Theorems · Theorem · complex analysis
meromorphicTrailingCoeffAt_neg
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {x : 𝕜} {f : 𝕜 → E}, meromorphicTrailingCoeffAt (-f) x = -meromorphicTrailingCoeffAt f xTaking the negative commutes with taking meromorphicTrailingCoeffAt.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Top.topproof · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Compl.complproof · cited by 2,925
- nhdsWithinproof · cited by 1,912
- Filter.EventuallyEqproof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- neg_zeroproof · cited by 542
- AnalyticAtproof · cited by 321
- smul_negproof · cited by 181
Cited by2
Results whose statement or proof uses this declaration.
- MeromorphicAt.meromorphicTrailingCoeffAt_sub_eq_subproof · cited by 1
- meromorphicTrailingCoeffAt_fun_negproof · cited by 0