λm,n. nsucc^n m.
interpretation
- "plus (positive integers"
+ "plus (positive integers)"
'plus m n = (nplus m n).
(* Basic rewrites ***********************************************************)
#m #n @(niter_succ … nsucc)
qed.
+(*** plus_S1 *)
lemma nplus_succ_sn (m) (n): ↑(m+n) = ↑m + n.
#m #n @(niter_appl … nsucc)
qed.