Thms automata 5 Sections AutomataTheory Doc

inv_funs Def InvFuns(A; B; f; g) == g o f = Id & f o g = Id

Thm* A,B:Type, f:(AB), g:(BA). InvFuns(A; B; f; g) Prop

tidentity Def Id == Id

Thm* A:Type. Id AA

compose Def (f o g)(x) == f(g(x))

Thm* A,B,C:Type, f:(BC), g:(AB). f o g AC

identity Def Id(x) == x

Thm* A:Type. Id AA

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!abstractionapplyalluniversemember
functionandequalprop