Step
*
1
of Lemma
unique-one-dim-vs-map
.....wf.....
1. K : CRng
2. vs : VectorSpace(K)
3. v : Point(vs)
⊢ λk.k * v ∈ one-dim-vs(K) ⟶ vs
BY
{ (MemTypeCD
THEN RepUR ``one-dim-vs mk-vs vs-point vs-add vs-mul vs-0 vs-1`` 0
THEN Folds ``vs-point vs-add vs-mul vs-0 vs-1`` 0
THEN Auto) }
Latex:
Latex:
.....wf.....
1. K : CRng
2. vs : VectorSpace(K)
3. v : Point(vs)
\mvdash{} \mlambda{}k.k * v \mmember{} one-dim-vs(K) {}\mrightarrow{} vs
By
Latex:
(MemTypeCD
THEN RepUR ``one-dim-vs mk-vs vs-point vs-add vs-mul vs-0 vs-1`` 0
THEN Folds ``vs-point vs-add vs-mul vs-0 vs-1`` 0
THEN Auto)
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