Step
*
1
2
of Lemma
church-succ_wf2
1. x : x:cNat ⋂ church-inductive{i:l}(x)
2. x ∈ cNat
3. x ∈ church-inductive{i:l}(x)
⊢ cS x ∈ church-inductive{i:l}(cS x)
BY
{ (InstLemma `church-iS` [⌜x⌝]⋅ THEN Auto) }
Latex:
Latex:
1.  x  :  x:cNat  \mcap{}  church-inductive\{i:l\}(x)
2.  x  \mmember{}  cNat
3.  x  \mmember{}  church-inductive\{i:l\}(x)
\mvdash{}  cS  x  \mmember{}  church-inductive\{i:l\}(cS  x)
By
Latex:
(InstLemma  `church-iS`  [\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THEN  Auto)
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