Step
*
1
of Lemma
formal-sum-mul-add
1. S : Type
2. K : CRng
3. k : |K|
4. b : |K|
5. fs : basic-formal-sum(K;S)
⊢ bfs-reduce(K;S;k +K b * fs;k * fs + b * fs)
BY
{ (OrRight THEN Auto THEN InstConcl [⌜{}⌝;⌜k⌝;⌜b⌝;⌜fs⌝]⋅ THEN Auto) }
1
.....wf.....
1. S : Type
2. K : CRng
3. k : |K|
4. b : |K|
5. fs : basic-formal-sum(K;S)
⊢ {} ∈ basic-formal-sum(K;S)
Latex:
Latex:
1. S : Type
2. K : CRng
3. k : |K|
4. b : |K|
5. fs : basic-formal-sum(K;S)
\mvdash{} bfs-reduce(K;S;k +K b * fs;k * fs + b * fs)
By
Latex:
(OrRight THEN Auto THEN InstConcl [\mkleeneopen{}\{\}\mkleeneclose{};\mkleeneopen{}k\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}fs\mkleeneclose{}]\mcdot{} THEN Auto)
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