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Step * 4 2 of Lemma record+_extensionality


1. T : Atom ⟶ 𝕌'
2. B : record(x.T[x]) ⟶ 𝕌'
3. z : Atom
4. r1 : record(x.T[x])
z:B[self]
5. r2 : record(x.T[x])
z:B[self]
⊢ r2 ∈ record(x.T[x])
BY
{ (D 5 THEN Auto) }

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Latex:

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Latex:

1.  T  :  Atom  {}\mrightarrow{}  \mBbbU{}'
2.  B  :  record(x.T[x])  {}\mrightarrow{}  \mBbbU{}'
3.  z  :  Atom
4.  r1  :  record(x.T[x])
z:B[self]
5.  r2  :  record(x.T[x])
z:B[self]
\mvdash{}  r2  \mmember{}  record(x.T[x])


By

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Latex:
(D  5  THEN  Auto)

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