Step
*
of Lemma
es-E-mk-extended-eo2
∀[Info,E:Type]. ∀[dom:E ─→ 𝔹]. ∀[l:E ─→ Id]. ∀[R:E ─→ E ─→ ℙ]. ∀[locless:E ─→ E ─→ 𝔹]. ∀[pred:E ─→ E]. ∀[rank:E ─→ ℕ].
∀[info:E ─→ Info]. ∀[x:E].
x ∈ E supposing ↑(dom x)
BY
{ (RepeatFor 9 (Intro) THEN RepUR ``es-E mk-extended-eo mk-eo mk-eo-record`` 0 THEN Auto) }
Latex:
Latex:
\mforall{}[Info,E:Type]. \mforall{}[dom:E {}\mrightarrow{} \mBbbB{}]. \mforall{}[l:E {}\mrightarrow{} Id]. \mforall{}[R:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[locless:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbB{}].
\mforall{}[pred:E {}\mrightarrow{} E]. \mforall{}[rank:E {}\mrightarrow{} \mBbbN{}]. \mforall{}[info:E {}\mrightarrow{} Info]. \mforall{}[x:E].
x \mmember{} E supposing \muparrow{}(dom x)
By
Latex:
(RepeatFor 9 (Intro) THEN RepUR ``es-E mk-extended-eo mk-eo mk-eo-record`` 0 THEN Auto)
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