int_seg	Def {i..j} == {k:| i k < j } Thm* m,n:. {m..n} Type
nat	Def == {i:| 0i } Thm* Type
nat_plus	Def == {i:| 0 < i } Thm* Type
one_one_corr	Def A ~ B == f:(AB), g:(BA). InvFuns(A; B; f; g) Thm* A,B:Type. (A ~ B) Prop
lelt	Def i j < k == ij & j < k
le	Def AB == B < A Thm* i,j:. ij Prop
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
not	Def A == A False Thm* A:Prop. (A) 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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