Theorems · Theorem · complex analysis
Meromorphic.smul
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {R : Type u_4} [inst_3 : NormedRing R] [inst_4 : Module R E] [IsBoundedSMul R E]
{g : 𝕜 → E} [inst_6 : NormedAlgebra 𝕜 R] [IsScalarTower 𝕜 R E] {f : 𝕜 → R},
Meromorphic f → Meromorphic g → Meromorphic (f • g)- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- IsScalarTowerstatement and proof · cited by 3,896
- NormedAlgebrastatement and proof · cited by 1,165
- NormedRingstatement and proof · cited by 924
- IsBoundedSMulstatement and proof · cited by 329
- Meromorphicstatement and proof · cited by 108
- MeromorphicAt.smulproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Meromorphic.fun_smulproof · cited by 0