theorem proved term proof

`eventCountFinite_pos`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 137theorem eventCountFinite_pos (S : Set E) (hfin : S.Finite) (hne : S.Nonempty) :
 138    0 < eventCountFinite S hfin := by

proof body

Term-mode proof.

 139  unfold eventCountFinite
 140  exact Finset.card_pos.mpr ((Set.Finite.toFinset_nonempty hfin).mpr hne)
 141
 142/-- Finite resolution neighborhoods have positive event count -/

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

finite_resolution_pos in IndisputableMonolith.RecogGeom.FiniteResolution decl_use

depends on (3)

Lean names referenced from this declaration's body.

E in IndisputableMonolith.Foundation.SpectralEmergence decl_use
eventCountFinite in IndisputableMonolith.RecogGeom.FiniteResolution decl_use
S in IndisputableMonolith.Relativity.ILG.Action decl_use