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声明

sq_eq_zero_iff

Mathlib.Algebra.OrderedField.Basic

2

模块

63

定理

750

声明

1016

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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 (R : Prop), forall (mk : forall (forward : forall (hsqz : @Eq.{u} Scalar (@sq.{u} Scalar mul a) zero), @Eq.{u} Scalar a zero), forall (backward : forall (haz : @Eq.{u} Scalar a zero), @Eq.{u} Scalar (@sq.{u} Scalar mul a) zero), R), R), forall (a : Scalar), forall (R : Prop), forall (mk : forall (forward : forall (hsqz : @Eq.{u} Scalar (@sq.{u} Scalar mul a) zero), @Eq.{u} Scalar a zero), forall (backward : forall (haz : @Eq.{u} Scalar a zero), @Eq.{u} Scalar (@sq.{u} Scalar mul a) zero), R), R

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 R => fun mk => law a R mk

常量