Theorems · Definition · functional analysis

NormedSpace.Core.casesOn

{𝕜 : Type u_6} →
  {E : Type u_7} →
    [inst : NormedField 𝕜] →
      [inst_1 : AddCommGroup E] →
        [inst_2 : Module 𝕜 E] →
          [inst_3 : Norm E] →
            {motive : NormedSpace.Core 𝕜 E → Sort u} →
              (t : NormedSpace.Core 𝕜 E) →
                ((toCore : SeminormedSpace.Core 𝕜 E) → (norm_eq_zero_iff : ∀ (x : E), ‖x‖ = 0 ↔ x = 0) → motive ⋯) →
                  motive t

Defined in

Mathlib.Analysis.Normed.Module.Basic

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldAddCommGroupModuleNorm