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At: fin alph list quo 1 1 1 1 1 3 1 1 1 1 2 1 1

1. Alph: Type
2. E: Alph*Alph*Prop
3. n:
4. f: nAlph
5. g: Alphn
6. g o f = Id
7. f o g = Id
8. EquivRel x,y:Alph*. x E y
9. x,y:Alph*. Dec(x E y)
10. h: n*n*
11. x,y:n*. (map(f;x) E map(f;y)) h(x) = h(y)
12. x: Alph*
13. map(f o g;x) E map(f;h(map(g;x)))

x E map(f;h(map(g;x)))

By:
RWH (HypC 7) 13
THEN
RWH (LemmaC Thm* as:A*. map(Id;as) = as) 13


Generated subgoals:

None


About:
applyuniversefunctionlistpropnatural_numberequalall