At: quotient of nsubn2 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:
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)) m:(n+1). m ~ (i,j:n//(i E j))