Level: Lib Thy Top:
Hypotheses:

None

Conclusion:

n:{1...}. E:n n . EquivRel(n;x,y.x E y) (x,y:n. Dec(x E y)) (m:(n + 1). 1-1-Corresp(m;i,j:n//(i E j)))


Applied Tactic: (BLemma `int_upper_ind` ...a)
Generated subgoals:

1. E:1 1 EquivRel(1;x,y.x E y) (x,y:1. Dec(x E y)) (m:(1 + 1). 1-1-Corresp(m;i,j:1//(i E j)))

2. n:{1 + 1...} (E:(n - 1) (n - 1) EquivRel((n - 1);x,y.x E y) (x,y:(n - 1). Dec(x E y)) (m:((n - 1) + 1). 1-1-Corresp(m;i,j:(n - 1)//(i E j)))) (E:n n EquivRel(n;x,y.x E y) (x,y:n. Dec(x E y)) (m:(n + 1). 1-1-Corresp(m;i,j:n//(i E j))))