Theorems · Theorem · complex analysis
Meromorphic.meromorphic_comp_sub_const_iff_meromorphic
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} {c : 𝕜}, Meromorphic (f ∘ fun x => x - c) ↔ Meromorphic fMeromorphic is invariant under translation.
- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- sub_eq_add_negproof · cited by 1,023
- Meromorphicstatement and proof · cited by 108
- Meromorphic.meromorphic_comp_add_const_iff_meromorphicproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Meromorphic.meromorphic_fun_comp_sub_const_iff_meromorphicproof · cited by 0