Theorems · Theorem · complex analysis
meromorphicTrailingCoeffAt_inv
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} {f : 𝕜 → 𝕜},
meromorphicTrailingCoeffAt f⁻¹ x = (meromorphicTrailingCoeffAt f x)⁻¹The trailing coefficient of the inverse function is the inverse of the trailing coefficient.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
Around this declaration
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- mul_oneproof · cited by 3,885
- 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
- inv_mul_cancel₀proof · cited by 267
- inv_zeroproof · cited by 184
- meromorphicOrderAtproof · cited by 180
- MeromorphicAtproof · cited by 160
Cited by1
Results whose statement or proof uses this declaration.
- meromorphicTrailingCoeffAt_fun_invproof · cited by 0