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Step * of Lemma nc-0-s-commute

∀[I:fset(ℕ)]. ∀[i,j:ℕ].  ((i0) ⋅ s = s ⋅ (i0) ∈ I+j ⟶ I+i)
BY
{ (InstLemma `nc-p-s-commute` []
   THEN RepeatFor 3 (ParallelLast')
   THEN (InstLemma `nc-0-as-nc-p` [⌜I⌝]⋅ THENA Auto)
   THEN RWO "-1" 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[I:fset(\mBbbN{})].  \mforall{}[i,j:\mBbbN{}].    ((i0)  \mcdot{}  s  =  s  \mcdot{}  (i0))


By

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Latex:
(InstLemma  `nc-p-s-commute`  []
  THEN  RepeatFor  3  (ParallelLast')
  THEN  (InstLemma  `nc-0-as-nc-p`  [\mkleeneopen{}I\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  RWO  "-1"  0
  THEN  Auto)

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