Theorems · Theorem · complex analysis
MeromorphicOn.congr
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f g : 𝕜 → E} {U : Set 𝕜},
MeromorphicOn f U → Set.EqOn f g U → IsOpen U → MeromorphicOn g U- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- IsOpenstatement and proof · cited by 2,400
- Set.EqOnstatement and proof · cited by 603
- IsOpen.mem_nhdsproof · cited by 470
- nhdsWithin_le_nhdsproof · cited by 145
- MeromorphicOnstatement and proof · cited by 141
- Filter.EventuallyEq.filter_monoproof · cited by 59
- Filter.eventually_of_memproof · cited by 43
- MeromorphicAt.congrproof · cited by 12
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