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Declaration
eq_of_square_eq_square_nonneg
Mathlib.Algebra.OrderedField.Basic
Packages
2
Module
63
Theorem
750
Declarations
1016
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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), forall (ha : le_rel zero a), forall (hb : le_rel zero b), forall (hsq : @Eq.{u} Scalar (@sq.{u} Scalar mul a) (@sq.{u} Scalar mul b)), @Eq.{u} Scalar a b), forall (a : Scalar), forall (b : Scalar), forall (ha : le_rel zero a), forall (hb : le_rel zero b), forall (hsq : @Eq.{u} Scalar (@sq.{u} Scalar mul a) (@sq.{u} Scalar mul b)), @Eq.{u} Scalar a bProof 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 => fun ha => fun hb => fun hsq => law a b ha hb hsq