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Declaration
complete_metric_limit_from_args
Mathlib.Analysis.FixedPoint.Banach
Packages
2
Module
63
Theorem
750
Declarations
1016
信頼境界外の 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 (CauchySmall : forall (Sequence : Sort s), forall (seq : forall (n : Sequence), Vector), forall (eps : Scalar), Prop), forall (ConvergesSmall : forall (Sequence : Sort s), forall (seq : forall (n : Sequence), Vector), forall (limit : Vector), forall (eps : Scalar), Prop), forall (complete_args : @CompleteMetricArgs.{s,u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm CauchySmall ConvergesSmall), forall (Sequence : Sort s), forall (seq : forall (n : Sequence), Vector), forall (cauchy : @CauchySeq.{s,u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm CauchySmall Sequence seq), forall (P : Prop), forall (choose : 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), P), P
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 CauchySmall => fun ConvergesSmall => fun complete_args => fun Sequence => fun seq => fun cauchy => fun P => fun choose => complete_args Sequence seq cauchy P choose
Constants
Mathlib.Analysis.FixedPoint.Banach.CauchySeq
Interface hash: sha256:2a495a852229297c5d60de7f0a94b1602dd63cd25515f994596b1ae1d9f0814e
Mathlib.Analysis.FixedPoint.Banach.CompleteMetricArgs
Interface hash: sha256:02e89722507270cffacfa34964cd11a301d284b01f2436b76ff00b13434deccd
Mathlib.Analysis.FixedPoint.Banach.ConvergesTo
Interface hash: sha256:902e5667aeaf6932350f29b272919cf02573aed50f9def18662e9aea2e9c4474