Step
*
of Lemma
l_member_length
∀[T:Type]. ∀[L:T List]. ∀[x:T]. 0 < ||L|| supposing (x ∈ L)
BY
{ (((InstLemma `non_nil_length` [] THEN RepeatFor 2 (ParallelLast')) THEN Auto)
THEN BackThruSomeHyp
THEN InstLemma `l_member_non_nil` [⌜T⌝;⌜x⌝;⌜L⌝]⋅
THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[L:T List]. \mforall{}[x:T]. 0 < ||L|| supposing (x \mmember{} L)
By
Latex:
(((InstLemma `non\_nil\_length` [] THEN RepeatFor 2 (ParallelLast')) THEN Auto)
THEN BackThruSomeHyp
THEN InstLemma `l\_member\_non\_nil` [\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}L\mkleeneclose{}]\mcdot{}
THEN Auto)
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