---

Step * of Lemma rotate-by-rotate-by

∀[n,i,j:ℕ]. ∀[x:ℕn].  ((rotate-by(n;i) (rotate-by(n;j) x)) = (rotate-by(n;i + j) x) ∈ ℤ)
BY
{ xxx(Auto
      THEN RWO "iterate-rotate-rotate-by<" 0
      THEN Auto'
      THEN RWO "fun_exp_add" 0
      THEN Auto
      THEN Reduce 0
      THEN Auto)xxx }

---

Latex:

---

Latex:
\mforall{}[n,i,j:\mBbbN{}].  \mforall{}[x:\mBbbN{}n].    ((rotate-by(n;i)  (rotate-by(n;j)  x))  =  (rotate-by(n;i  +  j)  x))


By

---

Latex:
xxx(Auto
        THEN  RWO  "iterate-rotate-rotate-by<"  0
        THEN  Auto'
        THEN  RWO  "fun\_exp\_add"  0
        THEN  Auto
        THEN  Reduce  0
        THEN  Auto)xxx

---

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