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声明

derivative_id_from_args

Mathlib.Analysis.Calculus.Derivative

2

模块

63

定理

750

声明

1016

非可信 sidecar

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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 (args : @DerivativeIdRuleArgs.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm), forall (point : Vector), forall (bound : Scalar), forall (remainder_small : forall (r : Vector), Prop), @FrechetDerivativeAt.{u,v,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm Vector vzero vadd vneg smul norm (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm) point (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm) bound remainder_small

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 args => fun point => fun bound => fun remainder_small => args point bound remainder_small

常量