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Step * 1 of Lemma free-vs-subspace


1. S : Type
2. K : CRng
3. P : formal-sum(K;S) ⟶ ℙ
⊢ {} ∈ formal-sum(K;S)
BY
{ (SubsumeC ⌜basic-formal-sum(K;S)⌝⋅ THEN Auto) }

1
1. S : Type
2. K : CRng
3. P : formal-sum(K;S) ⟶ ℙ
⊢ {} ∈ basic-formal-sum(K;S)

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Latex:

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Latex:

1.  S  :  Type
2.  K  :  CRng
3.  P  :  formal-sum(K;S)  {}\mrightarrow{}  \mBbbP{}
\mvdash{}  \{\}  \mmember{}  formal-sum(K;S)


By

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Latex:
(SubsumeC  \mkleeneopen{}basic-formal-sum(K;S)\mkleeneclose{}\mcdot{}  THEN  Auto)

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