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theorem proved term proof

shiftOp_single

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formal statement (Lean)

 138@[simp] theorem shiftOp_single (p : Nat.Primes) (v : MultIndex) (c : ℝ) :
 139    shiftOp p (Finsupp.single v c)
 140      = Finsupp.single (v + Finsupp.single p 1) c := by

proof body

Term-mode proof.

 141  simp [shiftOp, Finsupp.lmapDomain_apply, Finsupp.mapDomain_single]
 142
 143/-- The inverse prime-shift operator `V_p^{-1}`: maps `e_v` to
 144    `e_{v - δ_p}` (division of the underlying rational by `p`). -/

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