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Step * 1 1 of Lemma rank-comm-decompose


1. P : pi_term()
2. ↑picomm?(P)
3. P = picomm(picomm-pre(P);picomm-body(P)) ∈ pi_term()
⊢ pi-rank(P) = (pi-rank(picomm-body(P)) + 1) ∈ ℕ
BY
{ InstLemma `rank-comm` [⌜picomm-body(P)⌝;⌜picomm-pre(P)⌝]⋅
THEN Auto }

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Latex:

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Latex:

1.  P  :  pi\_term()
2.  \muparrow{}picomm?(P)
3.  P  =  picomm(picomm-pre(P);picomm-body(P))
\mvdash{}  pi-rank(P)  =  (pi-rank(picomm-body(P))  +  1)


By

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Latex:
InstLemma  `rank-comm`  [\mkleeneopen{}picomm-body(P)\mkleeneclose{};\mkleeneopen{}picomm-pre(P)\mkleeneclose{}]\mcdot{}
THEN  Auto

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