Step
*
1
of Lemma
es-first-at_wf
1. es : EO
2. i : Id
3. e' : E
4. P : {e:E| loc(e) = i ∈ Id} ⟶ ℙ
⊢ (loc(e') = i ∈ Id) ∧ P[e'] ∧ ∀e'<e'.¬P[e'] ∈ ℙ
BY
{ (Unfolds ``and alle-lt`` 0 THEN Fold `cand` 0 THEN Auto THEN MemTypeCD THEN Auto) }
Latex:
Latex:
1. es : EO
2. i : Id
3. e' : E
4. P : \{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}
\mvdash{} (loc(e') = i) \mwedge{} P[e'] \mwedge{} \mforall{}e'<e'.\mneg{}P[e'] \mmember{} \mBbbP{}
By
Latex:
(Unfolds ``and alle-lt`` 0 THEN Fold `cand` 0 THEN Auto THEN MemTypeCD THEN Auto)
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