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theorem proved term proof

shiftInvOp_single

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formal statement (Lean)

 148@[simp] theorem shiftInvOp_single (p : Nat.Primes) (v : MultIndex) (c : ℝ) :
 149    shiftInvOp p (Finsupp.single v c)
 150      = Finsupp.single (v - Finsupp.single p 1) c := by

proof body

Term-mode proof.

 151  simp [shiftInvOp, Finsupp.lmapDomain_apply, Finsupp.mapDomain_single]
 152
 153/-- The reciprocal involution operator `U`: maps `e_v` to `e_{-v}`,
 154    corresponding to the multiplicative inversion `q ↦ 1/q`. -/

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