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声明

sq_add

Mathlib.Algebra.OrderedField.Square

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 (lt_rel : forall (a : Scalar), forall (b : Scalar), Prop), forall (sqrt_fn : forall (a : Scalar), Scalar), forall (law : forall (a : Scalar), forall (b : Scalar), @Eq.{u} Scalar (@sq.{u} Scalar mul (add a b)) (add (add (@sq.{u} Scalar mul a) (mul (mul (@two.{u} Scalar one add) a) b)) (@sq.{u} Scalar mul b))), forall (a : Scalar), forall (b : Scalar), @Eq.{u} Scalar (@sq.{u} Scalar mul (add a b)) (add (add (@sq.{u} Scalar mul a) (mul (mul (@two.{u} Scalar one add) a) b)) (@sq.{u} Scalar mul b))

证明项

fun Scalar => fun zero => fun one => fun add => fun neg => fun sub => fun mul => fun le_rel => fun lt_rel => fun sqrt_fn => fun law => fun a => fun b => law a b

常量