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Step * of Lemma not-added-name

∀[I:fset(ℕ)]. ∀[i:ℕ]. ∀[x:names(I+i)].  x ∈ names(I) supposing x ≠ i
BY
{ (Auto THEN DVar `x' THEN (RWO "fset-member-add-name" (-2)⋅ THENA Auto) THEN D -2 THEN Auto) }

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Latex:

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Latex:
\mforall{}[I:fset(\mBbbN{})].  \mforall{}[i:\mBbbN{}].  \mforall{}[x:names(I+i)].    x  \mmember{}  names(I)  supposing  x  \mneq{}  i


By

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Latex:
(Auto  THEN  DVar  `x'  THEN  (RWO  "fset-member-add-name"  (-2)\mcdot{}  THENA  Auto)  THEN  D  -2  THEN  Auto)

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