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Declaration
metric_ball_mono
Mathlib.Topology.Metric.Basic
Packages
2
Module
63
Theorem
750
Declarations
1016
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Statement
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)Proof term
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