recognition / Causality / Causality.Basic / inBall_mono

lemma

`inBall_mono`

proved

show as: view math explainer →

module: IndisputableMonolith.Causality.Basic
domain: Causality
line: 29 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Causality.Basic on GitHub at line 29.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

depends on

used by

inBall_mono IndisputableMonolith.Causality.Reach

formal source

  26lemma reaches_of_reachN {K : Kinematics α} {x y : α} {n : Nat}
  27  (h : ReachN K n x y) : Reaches K x y := ⟨n, h⟩
  28
  29lemma inBall_mono {K : Kinematics α} {x y : α} {n m : Nat}
  30  (hnm : n ≤ m) : inBall K x n y → inBall K x m y := by
  31  intro ⟨k, hk, hkreach⟩
  32  exact ⟨k, le_trans hk hnm, hkreach⟩
  33
  34end Causality
  35end IndisputableMonolith

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.