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Theorems · Theorem · several complex variables

FormalMultilinearSeries.compPartialSumTargetSet_image_compPartialSumSource

∀ (m M N : ℕ),
  ∀ i ∈ FormalMultilinearSeries.compPartialSumTargetSet m M N,
    ∃ j,
      ∃ (hj : j ∈ FormalMultilinearSeries.compPartialSumSource m M N),
        FormalMultilinearSeries.compChangeOfVariables m M N j hj = i
Defined in
Mathlib.Analysis.Analytic.Composition
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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FormalMultilinearSeries.compChangeOfVariables_sum · cited by 2FormalMultilinearSeries.c…Set · cited by 53352SetFinset · cited by 13712FinsetComposition · cited by 138CompositionComposition.length · cited by 92Composition.lengthComposition.blocksFun · cited by 52Composition.blocksFunComposition.blocks · cited by 49Composition.blocksFormalMultilinearSeries.compPartialSumSource · cited by 8FormalMultilinearSeries.c…FormalMultilinearSeries.compChangeOfVariables · cited by 7FormalMultilinearSeries.c…List.ofFn_get · cited by 3List.ofFn_getComposition.one_le_blocks' · cited by 2Composition.one_le_blocks'Composition.sigma_eq_iff_blocks_eq · cited by 1Composition.sigma_eq_iff_…FormalMultilinearSeries.compPartialSumTargetSet · cited by 1FormalMultilinearSeries.c…FormalMultilinearSeries.compP…CITED BYCITES

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