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def definition def or abbrev

chartOnQuotient

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formal statement (Lean)

  82noncomputable def chartOnQuotient (φ : RecognitionChart L r n) :
  83    {q : RecognitionQuotient r // ∃ c ∈ φ.domain, recognitionQuotientMk r c = q} →
  84    (Fin n → ℝ) :=

proof body

Definition body.

  85  fun ⟨_, hq⟩ =>
  86    let c := hq.choose
  87    let hc : c ∈ φ.domain ∧ recognitionQuotientMk r c = _ := hq.choose_spec
  88    φ.toFun ⟨c, hc.1⟩
  89
  90/-- The chart on quotient is well-defined (independent of representative) -/

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