succ_natAdd — Mathlib

English

Succ of the natural-addition of n to i equals the natural-addition of n to the successor of i.

Русский

Уздача natAdd n i = i + n после применения succ к i эквивалентна natAdd n (succ i).

LaTeX

$$$$ \\forall {n,m} \\ (i \\in \\mathrm{Fin}(m)) : \\operatorname{succ}(\\operatorname{natAdd} n i) = \\operatorname{natAdd} n (\\operatorname{succ} i). $$$$

Lean4

theorem succ_natAdd (i : Fin m) : succ (natAdd n i) = natAdd n (succ i) :=
  rfl

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