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Declaration
LinearMapLawArgs
Mathlib.Analysis.LinearMap
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 (X : Sort v), forall (xzero : X), forall (xadd : forall (x : X), forall (y : X), X), forall (xneg : forall (x : X), X), forall (xsmul : forall (a : Scalar), forall (x : X), X), forall (xnorm : forall (x : X), Scalar), forall (Y : Sort w), forall (yzero : Y), forall (yadd : forall (x : Y), forall (y : Y), Y), forall (yneg : forall (y : Y), Y), forall (ysmul : forall (a : Scalar), forall (y : Y), Y), forall (ynorm : forall (y : Y), Scalar), forall (f : forall (x : X), Y), Prop
Proof term
fun Scalar => fun zero => fun one => fun add => fun neg => fun sub => fun mul => fun le_rel => fun X => fun xzero => fun xadd => fun xneg => fun xsmul => fun xnorm => fun Y => fun yzero => fun yadd => fun yneg => fun ysmul => fun ynorm => fun f => forall (P : Prop), forall (mk : forall (map_zero_law : @Eq.{w} Y (f xzero) yzero), forall (map_add_law : forall (x : X), forall (y : X), @Eq.{w} Y (f (xadd x y)) (yadd (f x) (f y))), forall (map_neg_law : forall (x : X), @Eq.{w} Y (f (xneg x)) (yneg (f x))), forall (map_smul_law : forall (a : Scalar), forall (x : X), @Eq.{w} Y (f (xsmul a x)) (ysmul a (f x))), P), P