At: quotient of finite111112 1. n: {1...} 2. A: Type 3. R: AAProp 4. n ~ A 5. EquivRel x,y:A. x R y 6. x,y:A. Dec(x R y) 7. f: nA 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. m:(n+1). m ~ (i,j:n//(i R_f j))
m:(n+1). m ~ (x,y:A//(x R y)) By: Analyze 12
THEN
InstConcl [m] Generated subgoal: