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At: quotient of nsubn 2


n:{1+1...}. (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)))) (E:(nnProp). (EquivRel x,y:n. x E y) & (x,y:n. Dec(x E y)) (m:(n+1). m ~ (i,j:n//(i E j))))

By: UnivCD

Generated subgoal:

11. 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))
m:(n+1). m ~ (i,j:n//(i E j))


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alladdnatural_numberimpliesfunction
subtractpropandexistsquotient