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At: fun preserves fin 1 1 1 1 1 1 1 1
1. S: Type
2. T: Type
3. n:
4. f: nS
5. g: Sn
6. g o f = Id & f o g = Id
7. n1:
8. f1: n1T
9. g1: Tn1
10. g1 o f1 = Id & f1 o g1 = Id

n:, f:(nST), g:((ST)n). g o f = Id & f o g = Id (ST)ST
By: Inst Thm* n,m:. f:((mn)(nm)). Bij(mn; (nm); f) [n1;n]
Generated subgoal:

111. f:((nn1)(n1n)). Bij(nn1; (n1n); f)
n:, f:(nST), g:((ST)n). g o f = Id & f o g = Id (ST)ST

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existsfunctionnatural_numberandequaluniverse