Step
*
1
1
of Lemma
face-map_wf2
1. I : Cname List
2. x : Cname
3. p : ℕ2
4. x@0 : Cname@i
5. (x@0 ∈ I)@i
⊢ (x@0 ∈ [x / I-[x]])
BY
{ ((RW ListC 0 THEN Auto) THEN RWO "member-list-diff" 0 THEN Auto THEN RW ListC 0 THEN Auto) }
1
1. I : Cname List
2. x : Cname
3. p : ℕ2
4. x@0 : Cname@i
5. (x@0 ∈ I)@i
⊢ (x@0 = x ∈ Cname) ∨ ((x@0 ∈ I) ∧ (¬(x@0 = x ∈ Cname)))
Latex:
Latex:
1. I : Cname List
2. x : Cname
3. p : \mBbbN{}2
4. x@0 : Cname@i
5. (x@0 \mmember{} I)@i
\mvdash{} (x@0 \mmember{} [x / I-[x]])
By
Latex:
((RW ListC 0 THEN Auto) THEN RWO "member-list-diff" 0 THEN Auto THEN RW ListC 0 THEN Auto)
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