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At: list quo choice pls 1 1 1 2 1 1 1 2 1 1
1. q:
2. E: q*q*Prop
3. EquivRel x,y:q*. x E y
4. x,y:q*. Dec(x E y)
5. f: q*
6. g: q*
7. g o f = Id
8. f o g = Id
9. h:
10. n,k:. ((g(n)) E (g(k))) h(n) = h(k)
11. x: q*
12. ((g o f)(x)) E ((g o h)(f(x)))

x E ((g o h o f)(x))
By:
RWH (HypC 7) 12
THEN
Reduce 12
Generated subgoal:

112. x E (g(h(f(x))))
x E ((g o h o f)(x))

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applyfunctionlistnatural_numberpropallequal