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Theorems · Theorem · complex analysis

FormalMultilinearSeries.ofScalarsSum.congr_simp

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Field 𝕜] [inst_1 : Ring E] [inst_2 : Algebra 𝕜 E] [inst_3 : TopologicalSpace E]
  [inst_4 : IsTopologicalRing E] (c c_1 : ℕ → 𝕜),
  c = c_1 →
    ∀ (x x_1 : E), x = x_1 → FormalMultilinearSeries.ofScalarsSum c x = FormalMultilinearSeries.ofScalarsSum c_1 x_1
Defined in
Mathlib.Analysis.Analytic.OfScalars
Cited by
1 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldRingAlgebraTopologicalSpaceIsTopologicalRing
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FormalMultilinearSeries.ofScalarsSum_of_subsingleton · cited by 0FormalMultilinearSeries.o…TopologicalSpace · cited by 24529TopologicalSpaceAlgebra · cited by 11388AlgebraRing · cited by 7463RingField · cited by 7404FieldIsTopologicalRing · cited by 402IsTopologicalRingFormalMultilinearSeries.ofScalarsSum · cited by 8FormalMultilinearSeries.o…ofScalarsSum.congr_simpCITED BYCITES

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Cited by1

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