No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
31theorem gapAt_pos (k : ℕ) : 0 < gapAt k := by
proof body
Term-mode proof.
32 unfold gapAt referenceGap
33 have : 0 < phi ^ (-(k : ℤ)) := zpow_pos Constants.phi_pos _
34 linarith [this]
35
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (6)
Lean names referenced from this declaration's body.
-
Constants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
-
gapAt
in IndisputableMonolith.Information.PolarCodeGapFromPhi
decl_use
-
referenceGap
in IndisputableMonolith.Information.PolarCodeGapFromPhi
decl_use
-
referenceGap
in IndisputableMonolith.Sport.AthleticRecordProgressionFromPhi
decl_use
-
gapAt
in IndisputableMonolith.Sport.RecordProgressionFit
decl_use
-
referenceGap
in IndisputableMonolith.Sport.RecordProgressionFit
decl_use