At: quotient 1 1 corr 1 1 1 3 1 1 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. x1: B
13. x2: B
14. x1 R x2
((f o g)(x1)) R ((f o g)(x2))
By:
Analyze 9
THEN
HypSubst 10 0
THEN
Reduce 0
Generated subgoals:None
About: