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Theorems · Definition · field theory

DenselyNormedField.recOn

{α : Type u_5} →
  {motive : DenselyNormedField α → Sort u} →
    (t : DenselyNormedField α) →
      ([toNormedField : NormedField α] →
          (lt_norm_lt : ∀ (x y : ℝ), 0 ≤ x → x < y → ∃ a, x < ‖a‖ ∧ ‖a‖ < y) →
            motive { toNormedField := toNormedField, lt_norm_lt := lt_norm_lt }) →
        motive t
Defined in
Mathlib.Analysis.Normed.Field.Basic
Cited by
0 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Real · cited by 25697RealNorm.norm · cited by 5413Norm.normNormedField · cited by 1084NormedFieldDenselyNormedField · cited by 14DenselyNormedFieldDenselyNormedField.recOnCITED BYCITES

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