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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