sq_sub

Mathlib.Algebra.OrderedField.Square

Packages

Module

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 (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 (sub a b)) (add (sub (@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 (sub a b)) (add (sub (@sq.{u} Scalar mul a) (mul (mul (@two.{u} Scalar one add) a) b)) (@sq.{u} Scalar mul b))

Proof term

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

Constants

Mathlib.Algebra.Ring.Basic.sq

Interface hash: sha256:bfbb0c65b49056ee9dc7c379fa12557f00e89e81c05a52231423575bf807326c

Mathlib.Algebra.Ring.Basic.two

Interface hash: sha256:e758fa832956e3fac452cde06870eca57616a598516f7a0f8b1f627b447ee11e

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015