proposition: Lemma pr2_inv_uip@{i|} {A : Type@{i}} {P : A -> Type@{i}} {x : A} {y y' : P x} : y = y' -> sigmaI@{i} P x y = sigmaI@{i} P x y'.
proof: Proof. exact (solution_right (B:=fun y' => (x, y) = (x, y')) y 1 y'). Defined.
imports: Coq.Program.Tactics Equations.Init Equations.Signature Equations.CoreTactics Equations.Type.Logic Equations.Type.Classes Equations.Type.EqDec