Step
*
of Lemma
mcopower_umap_comm_tri
∀s:DSet. ∀g:AbMon. ∀c:MCopower(s;g). ∀h:AbMon. ∀f:|s| ⟶ MonHom(g,h). ∀j:|s|.
((f j) = ((c.umap h f) o (c.inj j)) ∈ (|g| ⟶ |h|))
BY
{ ((RepD
THENM AssertLemma `mcopower_properties` []
THENM Unfold `uni_sat` (-1)
THENM BHyp (-1)) THEN Auto) }
Latex:
Latex:
\mforall{}s:DSet. \mforall{}g:AbMon. \mforall{}c:MCopower(s;g). \mforall{}h:AbMon. \mforall{}f:|s| {}\mrightarrow{} MonHom(g,h). \mforall{}j:|s|.
((f j) = ((c.umap h f) o (c.inj j)))
By
Latex:
((RepD
THENM AssertLemma `mcopower\_properties` []
THENM Unfold `uni\_sat` (-1)
THENM BHyp (-1)) THEN Auto)
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