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At: quotient of nsubn 2 1 2

1. n: {1+1...}
2. E:((n-1)(n-1)Prop). (EquivRel x,y:(n-1). x E y) & (x,y:(n-1). Dec(x E y)) (m:(n-1+1). m ~ (i,j:(n-1)//(i E j)))
3. E: nnProp
4. (EquivRel x,y:n. x E y) & (x,y:n. Dec(x E y))
5. EquivRel x,y:(n-1). x E y

m:(n+1). m ~ (i,j:n//(i E j))

By:
InstHyp [E] 2
THEN
ExRepD


Generated subgoal:

14. EquivRel x,y:n. x E y
5. x,y:n. Dec(x E y)
6. EquivRel x,y:(n-1). x E y
7. m: (n-1+1)
8. m ~ (i,j:(n-1)//(i E j))
m:(n+1). m ~ (i,j:n//(i E j))


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