1 alias nat /Coq/Init/Datatypes/nat.ind#1/1
2 alias eq /Coq/Init/Logic/eq.ind#1/1
3 alias eq_ind /Coq/Init/Logic/eq_ind.con
4 alias O /Coq/Init/Datatypes/nat.ind#1/1/1
5 alias S /Coq/Init/Datatypes/nat.ind#1/1/2
6 alias plus /Coq/Init/Peano/plus.con
7 alias mult /Coq/Init/Peano/mult.con
8 alias le /Coq/Init/Peano/le.ind#1/1
9 alias lt /Coq/Init/Peano/lt.con
10 alias not /Coq/Init/Logic/not.con
11 (eq nat (\x:nat.\y:nat.O O O) (\x:nat.\y:nat.O O O))
12 /Coq/Init/Logic/f_equal2.con
13 /Coq/Init/Logic/eq.ind#1/1/1
17 /Coq/Arith/Gt/gt_S_le.con
19 (not (lt O (plus O O)))
20 /Coq/Arith/Lt/lt_n_n.con