返回 NPA
声明
converges_to_intro
Mathlib.Analysis.FixedPoint.Banach
包
2
模块
63
定理
750
声明
1016
非可信 sidecar
源文本和展示 overlay 属于展示元数据。可信证据是签名证书和 checker 结果。
陈述
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 (h : forall (eps : Scalar), ConvergesSmall Sequence seq limit eps), @ConvergesTo.{s,u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm ConvergesSmall Sequence seq limit
证明项
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 h => h