Theorems · Definition · general topology

LipschitzAdd.casesOn

{β : Type u_2} →
  [inst : PseudoMetricSpace β] →
    [inst_1 : AddMonoid β] →
      {motive : LipschitzAdd β → Sort u} →
        (t : LipschitzAdd β) → ((lipschitz_add : ∃ C, LipschitzWith C fun p => p.1 + p.2) → motive ⋯) → motive t

Defined in: Mathlib.Topology.MetricSpace.Algebra
Cited by: 0 results in Mathlib
Foundations: Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoMetricSpace AddMonoid

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NNRealstatement and proof · cited by 4,310
AddMonoidstatement and proof · cited by 2,864
PseudoMetricSpacestatement and proof · cited by 1,550
LipschitzWithstatement and proof · cited by 316
LipschitzAddstatement and proof · cited by 6

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