Step
*
of Lemma
qv-add_wf
∀[as,bs:ℚ List]. qv-add(as;bs) ∈ ℚ List supposing dimension(as) = dimension(bs) ∈ ℤ
BY
{ (Unfold `qv-dim` 0
THEN InductionOnList
THEN RecUnfold `qv-add` 0
THEN Reduce 0
THEN Auto'
THEN BackThruSomeHyp
THEN DVar `bs'
THEN All Reduce
THEN Auto') }
Latex:
Latex:
\mforall{}[as,bs:\mBbbQ{} List]. qv-add(as;bs) \mmember{} \mBbbQ{} List supposing dimension(as) = dimension(bs)
By
Latex:
(Unfold `qv-dim` 0
THEN InductionOnList
THEN RecUnfold `qv-add` 0
THEN Reduce 0
THEN Auto'
THEN BackThruSomeHyp
THEN DVar `bs'
THEN All Reduce
THEN Auto')
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