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Theorems · Theorem · complex analysis

Meromorphic.div

∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
  [inst_2 : NormedAlgebra 𝕜 𝕜'] {f g : 𝕜 → 𝕜'}, Meromorphic f → Meromorphic g → Meromorphic (f / g)
Defined in
Mathlib.Analysis.Meromorphic.Basic
Cited by
2 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNontriviallyNormedFieldNormedAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Meromorphic.logDeriv · cited by 1Meromorphic.logDerivMeromorphic.fun_div · cited by 0Meromorphic.fun_divNontriviallyNormedField · cited by 8742NontriviallyNormedFieldNormedAlgebra · cited by 1165NormedAlgebraMeromorphic · cited by 108MeromorphicMeromorphicAt.div · cited by 4MeromorphicAt.divMeromorphic.divCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.