Theorems · Theorem · complex analysis
MeromorphicAt.inv
∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
[inst_2 : NormedAlgebra 𝕜 𝕜'] {x : 𝕜} {f : 𝕜 → 𝕜'}, MeromorphicAt f x → MeromorphicAt f⁻¹ x- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- Filter.Eventuallyproof · cited by 3,134
- Compl.complproof · cited by 2,925
- Filter.EventuallyEqproof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- NormedAlgebrastatement and proof · cited by 1,165
- eq_or_neproof · cited by 1,117
- sub_selfproof · cited by 996
- zero_smulproof · cited by 716
- zero_powproof · cited by 361
Cited by9
Results whose statement or proof uses this declaration.
- meromorphicOrderAt_invproof · cited by 5
- MeromorphicAt.divproof · cited by 4
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- MeromorphicOn.invproof · cited by 3
- Meromorphic.invproof · cited by 3
- meromorphicOrderAt_divproof · cited by 2
- meromorphicTrailingCoeffAt_invproof · cited by 1
- MeromorphicAt.fun_invproof · cited by 0
- MeromorphicAt.inv_iffproof · cited by 0