| Who Cites one one corr fams? |
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one_one_corr_fams | Def (x:A. B(x)) ~ (x':A'. B'(x'))
Def == f:(A![](FONT/dash.png) A'), g:(A'![](FONT/dash.png) A), F:(x:A![](FONT/dash.png) B(x)![](FONT/dash.png) B'(f(x))), G:(x:A![](FONT/dash.png) B'(f(x))![](FONT/dash.png) B(x)).
Def == InvFuns(A;A';f;g) & ( u:A. InvFuns(B(u);B'(f(u));F(u);G(u))) |
| | Thm* A:Type, A':Type, B:(A![](FONT/dash.png) Type), B':(A'![](FONT/dash.png) Type).
Thm* ((x:A. B(x)) ~ (x':A'. B'(x'))) Prop |
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inv_funs_2 | Def InvFuns(A;B;f;g) == ( x:A. g(f(x)) = x) & ( y:B. f(g(y)) = y) |
| | Thm* f:(A![](FONT/dash.png) B), g:(B![](FONT/dash.png) A). InvFuns(A;B;f;g) Prop |