fact: Definition equiv_induction_inv_comp {U : Type} (P : forall V, V <~> U -> Type) (didmap : P U (equiv_idmap U)) : equiv_induction_inv P didmap U (equiv_idmap U) = didmap := (equiv_ind_comp (P U) _ 1).
imports: HoTT.Basics Types.Sigma Types.Forall Types.Arrow Types.Paths Types.Equiv Types.Bool Types.Prod