Finite Field
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Declaration

sqrt_mul_self

Mathlib.Algebra.OrderedField

Packages

2

Module

63

Theorem

750

Declarations

1016

信頼境界外の sidecar

Source text や表示 overlay は提示用メタデータです。信頼する証拠は署名済み証明書と checker の結果です。

Statement

forall (a : RingElem), forall (ha : le zero a), @Eq.{1} RingElem (sqrt (mul a a)) a

Proof term

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

Constants

Mathlib.Algebra.OrderedField.le

Interface hash: sha256:bb9765943e3f9c866c6948cd5d2913a763ae34463a1e1cc4f382efa1a16a995b

Mathlib.Algebra.OrderedField.sqrt

Interface hash: sha256:1795cdb96f23e8c6bffaefb4779f001a092aab70020e419e2546fd019cde11a0

Mathlib.Algebra.Ring.RingElem

Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea

Mathlib.Algebra.Ring.mul

Interface hash: sha256:80cffe9e7407fc4418c1d4503cb479242aacacfa12e5aeca2efc2f48342545b9

Mathlib.Algebra.Ring.zero

Interface hash: sha256:acd114675ba5b92c602836fd317cdd80e63659c99ff34e05341dda09002571d5

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015