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4 (* ||A|| A project by Andrea Asperti *)
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15 include "nat/order.ma".
16 include "datatypes/bool.ma".
18 naxiom decompose1: ¬(lt O O).
19 naxiom decompose2: ∀n. ¬(lt (S n) O).
21 ndefinition ltb: nat → nat → bool.
26 ##| #n'; #Hn'; #m; ncases m
28 | #m'; ncases (Hn' m')