Nuprl - Proof: iter via intseg amputate units 1 1 1 1

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At: iter via intseg amputate units 1 1 1 1

1. A : Type
2. f : A

A
3. u : A
4. is_ident(A; f; u)
5. is_assoc_sep(A; f)
6. a :

7. b :

8. c : {a...b}
9. d : {c..b

}
10. e : {a..b

}

A
11.

i:{a..b

}. i<c

e(i) = u
12. f(u,Iter(f;u) i:{c..d

}. e(i)) = (Iter(f;u) i:{c..d

}. e(i))
13. f((Iter(f;u) i:{c..d

}. e(i)),u) = (Iter(f;u) i:{c..d

}. e(i))

f(u,f((Iter(f;u) i:{c..d

}. e(i)),u)) = f((Iter(f;u) i:{c..d

}. e(i)),u)

By:	Rewrite by Hyp:-1 THEN Rewrite by Hyp:12

Generated subgoals:

None

About:

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