(*** plus *)
definition nplus: nat → nat → nat ≝
- λm,n. nsucc^n m.
+ λm,n. (nsucc^n) m.
interpretation
"plus (non-negative integers)"
#m #n @(niter_appl … nsucc)
qed.
-(*** plus_O_n.con *)
+(*** plus_O_n *)
lemma nplus_zero_sn (m): m = 𝟎 + m.
#m @(nat_ind_succ … m) -m //
qed.