At: quotient of finite 1 1 1 1 1 1
1. n: {1...}
2. A: Type
3. R: A
A
Prop
4.
n ~ A
5. EquivRel x,y:A. x R y
6.
x,y:A. Dec(x R y)
7. f:
n
A
8. Bij(
n; A; f)
9.
F:((x,y:
n//(x R_f y))
(x,y:A//(x R y))). Bij(x,y:
n//(x R_f y); x,y:A//(x R y); F)
10. EquivRel x,y:
n. x R_f y
11. (x,y:
n//(x R_f y)) ~ (x,y:A//(x R y))
12. x:
n
13. y:
n
Dec(x R_f y)
By:
Unfold `preima_of_rel` 0
THEN
Reduce 0
Generated subgoals:None
About: