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Declaration
fixed_point_result_intro
Mathlib.Analysis.FixedPoint.Banach
Packages
2
Module
63
Theorems
750
Declarations
1016
Untrusted sidecar
Source text and display overlays are presentation metadata. The signed certificate and checker result are the trusted evidence.
Statement
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 (Vector : Sort v), forall (vzero : Vector), forall (vadd : forall (x : Vector), forall (y : Vector), Vector), forall (vneg : forall (x : Vector), Vector), forall (smul : forall (a : Scalar), forall (x : Vector), Vector), forall (norm : forall (x : Vector), Scalar), forall (domain : forall (x : Vector), Prop), forall (T : forall (x : Vector), Vector), forall (stable : forall (x : Vector), Prop), forall (fixed : Vector), forall (evidence : @FixedPointEvidence.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm domain T fixed stable), @FixedPointResult.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm domain T stable
Proof term
fun Scalar => fun zero => fun one => fun add => fun neg => fun sub => fun mul => fun le_rel => fun Vector => fun vzero => fun vadd => fun vneg => fun smul => fun norm => fun domain => fun T => fun stable => fun fixed => fun evidence => fun (P : Prop) => fun (mk : forall (fixed : Vector), forall (evidence : @FixedPointEvidence.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm domain T fixed stable), P) => mk fixed evidence