eq_of_square_eq_square_nonneg

Mathlib.Algebra.OrderedField

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

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Statement

forall (a : RingElem), forall (b : RingElem), forall (ha : le zero a), forall (hb : le zero b), forall (hsq : @Eq.{1} RingElem (sq a) (sq b)), @Eq.{1} RingElem a b

Proof term

fun a => fun b => fun ha => fun hb => fun hsq => @RingElem.rec.{0} (fun (x : RingElem) => @Eq.{1} RingElem x b) (@RingElem.rec.{0} (fun (y : RingElem) => @Eq.{1} RingElem RingElem.unit y) (@Eq.refl.{1} RingElem RingElem.unit) b) a

Constants

Mathlib.Algebra.OrderedField.le

Interface hash: sha256:bb9765943e3f9c866c6948cd5d2913a763ae34463a1e1cc4f382efa1a16a995b

Mathlib.Algebra.Ring.RingElem

Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea

Mathlib.Algebra.Ring.zero

Interface hash: sha256:acd114675ba5b92c602836fd317cdd80e63659c99ff34e05341dda09002571d5

Mathlib.Algebra.Square.sq

Interface hash: sha256:d94d2d5ba36971c9c2e4bab1c4f7ac3097814b730120fa092c425ad81fd45deb

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015