NPAへ戻る
Declaration
normalize_add_with_zero_cross_term
Mathlib.Algebra.OrderedField.Square
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 (x : Scalar), forall (hzero : @Eq.{u} Scalar x zero), @Eq.{u} Scalar (add (add a (mul (@two.{u} Scalar one add) x)) b) (add a b)), forall (a : Scalar), forall (b : Scalar), forall (x : Scalar), forall (hzero : @Eq.{u} Scalar x zero), @Eq.{u} Scalar (add (add a (mul (@two.{u} Scalar one add) x)) b) (add a 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 => fun x => fun hzero => law a b x hzero