Theorems · Theorem · complex analysis
binomialSeries.congr_simp
∀ {𝕂 : Type u} [inst : Field 𝕂] [inst_1 : CharZero 𝕂] (𝔸 : Type v) [inst_2 : Ring 𝔸] [inst_3 : Algebra 𝕂 𝔸]
[inst_4 : TopologicalSpace 𝔸] [inst_5 : IsTopologicalRing 𝔸] (a a_1 : 𝕂),
a = a_1 → ∀ (n : ℕ), binomialSeries 𝔸 a n = binomialSeries 𝔸 a_1 n- Defined in
- Mathlib.Analysis.Analytic.Binomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- ContinuousMultilinearMapstatement · cited by 1,016
- CharZerostatement and proof · cited by 932
- IsTopologicalRingstatement and proof · cited by 402
- binomialSeriesstatement and proof · cited by 11
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