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声明

le_trans

Mathlib.Algebra.OrderedField.Basic

2

模块

63

定理

750

声明

1016

非可信 sidecar

源文本和展示 overlay 属于展示元数据。可信证据是签名证书和 checker 结果。

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 (b : Scalar), forall (c : Scalar), forall (hab : le_rel a b), forall (hbc : le_rel b c), le_rel a c), forall (a : Scalar), forall (b : Scalar), forall (c : Scalar), forall (hab : le_rel a b), forall (hbc : le_rel b c), le_rel a c

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 b => fun c => fun hab => fun hbc => law a b c hab hbc