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At: one one corr tran 1 1 1
1. A: Type
2. B: Type
3. C: Type
4. f1: AB
5. g1: BA
6. g1 o f1 = Id
7. f1 o g1 = Id
8. f: BC
9. g: CB
10. g o f = Id
11. f o g = Id

g1 o g o f o f1 = Id & f o f1 o g1 o g = Id
By:
Analyze 0
THEN
Ext
THEN
Reduce 0
Generated subgoals:

112. x: A
g1(g(f(f1(x)))) = x
212. x: C
f(f1(g1(g(x)))) = x

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