Nuprl - Pf incl_aux3_quo 1 2 1 2 2 1

PrintForm Definitions relation autom Sections AutomataTheory Doc

1. n: {1...}
2. m: n
3. E: nnProp
4. EquivRel i,j:n. i E j
5. EquivRel i,j:m. i E j
6. x: i,j:m//(i E j)
7. y: i,j:m//(i E j)
8. x i,j:n//(i E j)
9. y i,j:n//(i E j)

(x = y x = y i,j:m//(i E j))

By: UseEqWitness * THEN Analyze 7 THEN Analyze 6

Generated subgoals:

1 10. y1: m
11. y2: m
12. y1 E y2
y1 i,j:n//(i E j)

2 10. y1: m
11. y2: m
12. y1 E y2
13. x1: m
14. x2: m
15. x1 E x2
* = * (x1 = y1 i,j:n//(i E j) x1 = y1 i,j:m//(i E j))

About:

1	10. `y1:` `m` 11. `y2:` `m` 12. `y1 E y2` `y1 i,j:n//(i E j)`
2	10. `y1:` `m` 11. `y2:` `m` 12. `y1 E y2` 13. `x1:` `m` 14. `x2:` `m` 15. `x1 E x2` `* = * (x1 = y1 i,j:n//(i E j) x1 = y1 i,j:m//(i E j))`