local_inverse_result_elim

forall (Scalar : Sort u), forall (zero : Scalar), forall (one : Scalar), forall (add : forall (a : Scalar), forall (b : Scalar), Scalar), forall (neg : forall (a : Scalar), Scalar), forall (sub : forall (a : Scalar), forall (b : Scalar), Scalar), forall (mul : forall (a : Scalar), forall (b : Scalar), Scalar), forall (le_rel : forall (a : Scalar), forall (b : Scalar), Prop), forall (X : Sort v), forall (xzero : X), forall (xadd : forall (x : X), forall (y : X), X), forall (xneg : forall (x : X), X), forall (xsmul : forall (a : Scalar), forall (x : X), X), forall (xnorm : forall (x : X), Scalar), forall (Y : Sort w), forall (yzero : Y), forall (yadd : forall (x : Y), forall (y : Y), Y), forall (yneg : forall (y : Y), Y), forall (ysmul : forall (a : Scalar), forall (y : Y), Y), forall (ynorm : forall (y : Y), Scalar), forall (f : forall (x : X), Y), forall (point : X), forall (df : forall (h : X), Y), forall (df_inv : forall (y : Y), X), forall (op_norm : Scalar), forall (inv_op_norm : Scalar), forall (x_domain : forall (x : X), Prop), forall (y_domain : forall (y : Y), Prop), forall (result : @LocalInverseResult.{u,v,w} Scalar zero one add neg sub mul le_rel X xzero xadd xneg xsmul xnorm Y yzero yadd yneg ysmul ynorm f point df df_inv op_norm inv_op_norm x_domain y_domain), forall (P : Prop), forall (mk : forall (inverse : forall (y : Y), X), forall (inverse_bound : Scalar), forall (inverse_remainder : forall (r : X), Prop), forall (evidence : @LocalInverseEvidence.{u,v,w} Scalar zero one add neg sub mul le_rel X xzero xadd xneg xsmul xnorm Y yzero yadd yneg ysmul ynorm f point df df_inv op_norm inv_op_norm x_domain y_domain inverse inverse_bound inverse_remainder), P), P

fun Scalar => fun zero => fun one => fun add => fun neg => fun sub => fun mul => fun le_rel => fun X => fun xzero => fun xadd => fun xneg => fun xsmul => fun xnorm => fun Y => fun yzero => fun yadd => fun yneg => fun ysmul => fun ynorm => fun f => fun point => fun df => fun df_inv => fun op_norm => fun inv_op_norm => fun x_domain => fun y_domain => fun result => fun P => fun mk => result P mk