Step
*
1
1
of Lemma
rank-rep-decompose
1. P : pi_term()
2. ↑pirep?(P)
3. P = pirep(pirep-body(P)) ∈ pi_term()
⊢ pi-rank(P) = (pi-rank(pirep-body(P)) + 1) ∈ ℕ
BY
{ InstLemma `rank-rep` [⌈pirep-body(P)⌉]⋅
THEN Auto }
Latex:
Latex:
1. P : pi\_term()
2. \muparrow{}pirep?(P)
3. P = pirep(pirep-body(P))
\mvdash{} pi-rank(P) = (pi-rank(pirep-body(P)) + 1)
By
Latex:
InstLemma `rank-rep` [\mkleeneopen{}pirep-body(P)\mkleeneclose{}]\mcdot{}
THEN Auto
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