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At: fin alph list quo 1 1 1 1 1 3 1 1 1 1 2
1. Alph: Type
2. E: Alph*Alph*Prop
3. n:
4. f: nAlph
5. g: Alphn
6. InvFuns(n; Alph; f; g)
7. EquivRel x,y:Alph*. x E y
8. x,y:Alph*. Dec(x E y)
9. h: n*n*
10. x,y:n*. (map(f;x) E map(f;y)) h(x) = h(y)
11. x:n*. map(f;x) E map(f;h(x))

x:Alph*. x E map(f;h(map(g;x)))
By:
Analyze 0
THEN
Witness11 map(g;x)
Generated subgoal:

111. x: Alph*
12. map(f;map(g;x)) E map(f;h(map(g;x)))
x E map(f;h(map(g;x)))

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alllistapplyuniversefunctionpropnatural_numberequal