Step
*
of Lemma
add-name-com
∀[I:fset(ℕ)]. ∀[i,j:ℕ].  (I+i+j = I+j+i ∈ fset(ℕ))
BY
{ (Auto
   THEN Using [`eq',⌜IntDeq⌝] (BLemma `fset-extensionality`)⋅
   THEN Auto
   THEN (All (RWW "fset-member-add-name")⋅ THEN Auto)
   THEN SplitOrHyps
   THEN Auto) }
Latex:
Latex:
\mforall{}[I:fset(\mBbbN{})].  \mforall{}[i,j:\mBbbN{}].    (I+i+j  =  I+j+i)
By
Latex:
(Auto
  THEN  Using  [`eq',\mkleeneopen{}IntDeq\mkleeneclose{}]  (BLemma  `fset-extensionality`)\mcdot{}
  THEN  Auto
  THEN  (All  (RWW  "fset-member-add-name")\mcdot{}  THEN  Auto)
  THEN  SplitOrHyps
  THEN  Auto)
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