lemma
proved
term proof
interp_fixedEndpoints
show as:
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formal statement (Lean)
151lemma interp_fixedEndpoints {a b : ℝ} {γ₁ γ₂ : AdmissiblePath a b}
152 (h : fixedEndpoints γ₁ γ₂) (s : ℝ) (hs : s ∈ Icc (0:ℝ) 1) :
153 fixedEndpoints γ₁ (interp γ₁ γ₂ s hs) := by
proof body
Term-mode proof.
154 refine ⟨?_, ?_⟩
155 · simp [interp_apply, h.1]; ring
156 · simp [interp_apply, h.2]; ring
157
158/-! ## Status report -/
159
160/-- Status string for the path-space module. -/