At: quotient 1 1 corr 1 1 1 5 1 2 1
1. A: Type
2. B: Type
3. f: A
B
4. R: B
B
Prop
5. Bij(A; B; f)
6. EquivRel x,y:B. x R y
7. EquivRel x,y:A. x R_f y
8. g: B
A
9. InvFuns(A; B; f; g)
10. F: (x,y:A//(x R_f y))
(x,y:B//(x R y))
11. F = (
x.f(x))
12. G: (x,y:B//(x R y))
(x,y:A//(x R_f y))
13. G = g
(x,y:B//(x R y))
(x,y:A//(x R_f y))
14. x1: B
15. x2: B
16. x1 R x2
(f(g(x1))) R x2
By:
RWH add_composeC 0
THEN
Analyze 9
THEN
HypSubst 10 0
THEN
Reduce 0
Generated subgoals:None
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