Step
*
1
1
of Lemma
name-morph-extend_wf
.....assertion.....
1. I : Cname List
2. J : Cname List
3. f : name-morph(I;J)
4. v : Cname
5. ¬(v ∈ I)
6. fresh-cname(I) = v ∈ {x:Cname| ¬(x ∈ I)}
7. v1 : Cname
8. ¬(v1 ∈ J)
9. fresh-cname(J) = v1 ∈ {x:Cname| ¬(x ∈ J)}
⊢ extd-nameset(J) ⊆r extd-nameset([v1 / J])
BY
{ TACTIC:Auto }
Latex:
Latex:
.....assertion.....
1. I : Cname List
2. J : Cname List
3. f : name-morph(I;J)
4. v : Cname
5. \mneg{}(v \mmember{} I)
6. fresh-cname(I) = v
7. v1 : Cname
8. \mneg{}(v1 \mmember{} J)
9. fresh-cname(J) = v1
\mvdash{} extd-nameset(J) \msubseteq{}r extd-nameset([v1 / J])
By
Latex:
TACTIC:Auto
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