`mapDelta_diff_toZ`

proved

show as: view math explainer →

module: IndisputableMonolith.UnitMapping
domain: UnitMapping
line: 123 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.UnitMapping on GitHub at line 123.

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.

open explainer

depends on

formal source

 120  simpa [mapDeltaAction, actionMap] using
 121    (mapDelta_step (δ:=δ) (hδ:=hδ) (f:=actionMap hbar) (n:=n))
 122
 123lemma mapDelta_diff_toZ (δ : ℤ) (hδ : δ ≠ 0) (f : AffineMapZ)
 124  (p q : DeltaSub δ) :
 125  mapDelta δ hδ f p - mapDelta δ hδ f q
 126    = f.slope * ((LedgerUnits.toZ δ p - LedgerUnits.toZ δ q : ℤ) : ℝ) := by
 127  classical
 128  simpa using (mapDelta_diff (δ:=δ) (hδ:=hδ) (f:=f) (p:=p) (q:=q))
 129
 130end UnitMapping
 131end IndisputableMonolith

papers checked against this theorem

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