返回 NPA
声明
ring_crt_intersection_left
Mathlib.Algebra.Ring.ChineseRemainder
包
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 (R : Sort u), forall (RI : Sort v), forall (RJ : Sort w), forall (zeroI : RI), forall (zeroJ : RJ), forall (modI : forall (x : R), RI), forall (modJ : forall (x : R), RJ), forall (x : R), forall (h : @RingCrtIntersectionPred.{u,v,w} R RI RJ zeroI zeroJ modI modJ x), @Eq.{v} RI (modI x) zeroI证明项
theorem ring_crt_intersection_left.{u,v,w} :
forall (R : Sort u), forall (RI : Sort v), forall (RJ : Sort w), forall (zeroI : RI), forall (zeroJ : RJ), forall (modI : forall (x : R), RI), forall (modJ : forall (x : R), RJ), forall (x : R), forall (h : @RingCrtIntersectionPred.{u,v,w} R RI RJ zeroI zeroJ modI modJ x), @Eq.{v} RI (modI x) zeroI :=
fun R => fun RI => fun RJ => fun zeroI => fun zeroJ => fun modI => fun modJ => fun x => fun h => h (@Eq.{v} RI (modI x) zeroI) (fun (left_kernel_arg : @Eq.{v} RI (modI x) zeroI) => fun (right_kernel_arg : @Eq.{w} RJ (modJ x) zeroJ) => left_kernel_arg)