Nuprl - IteratedBinops LEMMAs for iter_via_intseg_amputate

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Rank	Theorem	Name
3	Thm* f:(AAA), u:A. Thm* is_ident(A; f; u) Thm* Thm* is_assoc_sep(A; f) Thm* Thm* (a,b:, c:{a...b}, d:{c..b}, e:({a..b}A). Thm* ((i:{a..b}. i<c di e(i) = u) Thm* ( Thm* ((Iter(f;u) i:{a..b}. e(i)) = (Iter(f;u) i:{c..d}. e(i)))	[iter_via_intseg_amputate_units]
cites the following:
2	Thm* f:(AAA), u:A. Thm* is_ident(A; f; u) Thm* Thm* is_assoc_sep(A; f) Thm* Thm* (a,c,b:, e:({a..b}A). Thm* (ac Thm* ( Thm* (cb Thm* ( Thm* ((Iter(f;u) i:{a..b}. e(i)) Thm* (= Thm* (f((Iter(f;u) i:{a..c}. e(i)),Iter(f;u) i:{c..b}. e(i)))	[iter_via_intseg_split_mid]
2	Thm* f:(AAA), u:A. Thm* is_ident(A; f; u) Thm* Thm* (a,b:, e:({a..b}A). Thm* ((i:{a..b}. e(i) = u) (Iter(f;u) i:{a..b}. e(i)) = u)	[iter_via_intseg_all_units]

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