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Step * 1 of Lemma rank-option-decompose


1. P : pi_term()
2. ↑pioption?(P)
⊢ pi-rank(P) = ((pi-rank(pioption-left(P)) + pi-rank(pioption-right(P))) + 1) ∈ ℕ
BY
{ InstLemma `pi-option-decompose` [⌈P⌉]⋅
THEN Auto }

1
1. P : pi_term()
2. ↑pioption?(P)
3. P = pioption(pioption-left(P);pioption-right(P)) ∈ pi_term()
⊢ pi-rank(P) = ((pi-rank(pioption-left(P)) + pi-rank(pioption-right(P))) + 1) ∈ ℕ

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Latex:

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Latex:

1.  P  :  pi\_term()
2.  \muparrow{}pioption?(P)
\mvdash{}  pi-rank(P)  =  ((pi-rank(pioption-left(P))  +  pi-rank(pioption-right(P)))  +  1)


By

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Latex:
InstLemma  `pi-option-decompose`  [\mkleeneopen{}P\mkleeneclose{}]\mcdot{}
THEN  Auto

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