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声明
metric_ball_mono
Mathlib.Topology.Metric.Basic
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 (X : Sort u), forall (R : Sort v), forall (dist : forall (a : X), forall (b : X), R), forall (lt : forall (a : R), forall (b : R), Prop), forall (center : X), forall (r1 : R), forall (r2 : R), forall (h_le : forall (x : X), forall (hx : @MetricBall.{u,v} X R dist lt center r1 x), @MetricBall.{u,v} X R dist lt center r2 x), @LocalPred.{u} X (@MetricBall.{u,v} X R dist lt center r1) (@MetricBall.{u,v} X R dist lt center r2)证明项
fun X => fun R => fun dist => fun lt => fun center => fun r1 => fun r2 => fun h_le => fun (x : X) => fun (hx : @MetricBall.{u,v} X R dist lt center r1 x) => h_le x hx