IteratedBinops Sections DiscrMathExt Doc
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RankTheoremName
3Thm*  a,b:, f,g:({a..b}).
Thm*  ( i:{a..b}. f(i))( i:{a..b}. g(i)) = ( i:{a..b}. f(i)g(i))
[mul_via_intseg_factors]
cites the following:
2Thm*  f:(AAA), u:A.
Thm*  is_commutative_sep(A; f)
Thm*  
Thm*  is_ident(A; f; u)
Thm*  
Thm*  is_assoc_sep(A; f)
Thm*  
Thm*  (a,b:, e,g:({a..b}A).
Thm*  (f((Iter(f;u) i:{a..b}. e(i)),Iter(f;u) i:{a..b}. g(i))
Thm*  (=
Thm*  ((Iter(f;u) i:{a..b}. f(e(i),g(i)))
Thm*  ( A)
[iter_via_intseg_comp_binop]
0Thm*  is_commutative_sep(; (x,y. xy))[is_commutative_sep_intmul]
0Thm*  is_ident(; (x,y. xy); 1)[intmul_ident_one]
0Thm*  is_assoc_sep(; (x,y. xy))[is_assoc_intmul]
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IteratedBinops Sections DiscrMathExt Doc