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Declaration
derivative_id_from_args
Mathlib.Analysis.Calculus.Derivative
Packages
2
Module
63
Theorem
750
Declarations
1016
信頼境界外の sidecar
Source text や表示 overlay は提示用メタデータです。信頼する証拠は署名済み証明書と checker の結果です。
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 (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
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 args => fun point => fun bound => fun remainder_small => args point bound remainder_small
Constants
Mathlib.Analysis.Calculus.Derivative.DerivativeIdRuleArgs
Interface hash: sha256:e5ff21f8328927947ebc4f1baf97ec6ba69a8d7a34c6a3246772d38d33a0dbe7
Mathlib.Analysis.Calculus.Derivative.FrechetDerivativeAt
Interface hash: sha256:14ed51e16897e6ccfa79e86a4d5ad3931a3ef4a6cd899e0d0d655b1bb463db08
Mathlib.Analysis.LinearMap.LinearId
Interface hash: sha256:130945d353f9050fdaab6665e008929f4351a012d2adc2157311e857b1eca929