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Declaration
converges_to_apply
Mathlib.Analysis.FixedPoint.Banach
Packages
2
Module
63
Theorems
750
Declarations
1016
Untrusted sidecar
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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 (ConvergesSmall : forall (Sequence : Sort s), forall (seq : forall (n : Sequence), Vector), forall (limit : Vector), forall (eps : Scalar), Prop), forall (Sequence : Sort s), forall (seq : forall (n : Sequence), Vector), forall (limit : Vector), forall (converges : @ConvergesTo.{s,u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm ConvergesSmall Sequence seq limit), forall (eps : Scalar), ConvergesSmall Sequence seq limit eps
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 ConvergesSmall => fun Sequence => fun seq => fun limit => fun converges => fun eps => converges eps