Theorems · Definition · commutative algebra

MvPowerSeries.HasEval.casesOn

{σ : Type u_1} →
  {S : Type u_3} →
    [inst : CommRing S] →
      [inst_1 : TopologicalSpace S] →
        {a : σ → S} →
          {motive : MvPowerSeries.HasEval a → Sort u} →
            (t : MvPowerSeries.HasEval a) →
              ((hpow : ∀ (s : σ), IsTopologicallyNilpotent (a s)) →
                  (tendsto_zero : Filter.Tendsto a Filter.cofinite (nhds 0)) → motive ⋯) →
                motive t

Defined in

Mathlib.RingTheory.MvPowerSeries.Evaluation

Cited by

1 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingTopologicalSpace