Step
*
of Lemma
select-cons-hd
∀[a,as:Top]. ∀[i:ℤ]. [a / as][i] ~ a supposing i ≤ 0
BY
{ (Auto THEN RW UnrollLoopsOnceC 0 THEN Decide ⌜i < 1⌝ ⋅ THEN Auto THEN Reduce 0 THEN Auto) }
Latex:
Latex:
\mforall{}[a,as:Top]. \mforall{}[i:\mBbbZ{}]. [a / as][i] \msim{} a supposing i \mleq{} 0
By
Latex:
(Auto THEN RW UnrollLoopsOnceC 0 THEN Decide \mkleeneopen{}i < 1\mkleeneclose{} \mcdot{} THEN Auto THEN Reduce 0 THEN Auto)
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