PrintForm Definitions finite sets Sections AutomataTheory Doc

At: fin dec fin 2 1 2 2 3

1. n:
2. 0 < n
3. T:Type, B:(TProp). (f:((n-1)T), g:(T(n-1)). InvFuns((n-1); T; f; g)) & (t:T. Dec(B(t))) (m:, f:(m{t:T| B(t) }), g:({t:T| B(t) }m). InvFuns(m; {t:T| B(t) }; f; g))
4. T: Type
5. B: TProp
6. f: nT
7. g: Tn
8. g o f = Id
9. f o g = Id
10. t:T. Dec(B(t))
11. f (n-1){t:T| g(t) < n-1 }
12. g {t:T| g(t) < n-1 }(n-1)

(f:((n-1){t:T| g(t) < n-1 }), g@0:({t:T| g(t) < n-1 }(n-1)). InvFuns((n-1); {t:T| g(t) < n-1 }; f; g@0)) & (t:{t:T| g(t) < n-1 }. Dec(B(t)))

By: Analyze 0

Generated subgoals:

1 f:((n-1){t:T| g(t) < n-1 }), g@0:({t:T| g(t) < n-1 }(n-1)). InvFuns((n-1); {t:T| g(t) < n-1 }; f; g@0)
2 t:{t:T| g(t) < n-1 }. Dec(B(t))


About:
andexistsfunctionnatural_numbersubtractsetless_thanapply
allintuniversepropimpliesequalmember