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Step * 1 1 of Lemma firstn_map_upto


1. n : ℕ
⊢ [] ~ map(λi.⊥;upto(imin(0;n)))
BY
{ Subst' imin(0;n) ~ 0 0 }

1
.....equality..... 
1. n : ℕ
⊢ imin(0;n) ~ 0

2
1. n : ℕ
⊢ [] ~ map(λi.⊥;upto(0))

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Latex:

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Latex:

1.  n  :  \mBbbN{}
\mvdash{}  []  \msim{}  map(\mlambda{}i.\mbot{};upto(imin(0;n)))


By

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Latex:
Subst'  imin(0;n)  \msim{}  0  0

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