(fact 4)
###### INTERPRETATION NUMBER 1 ######
### (* disambiguation environment *)
-alias id S = cic:/Coq/Init/Datatypes/nat.ind#1/1/2
+alias id S = cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)
alias id mult = cic:/Coq/Init/Peano/mult.con
-alias id nat = cic:/Coq/Init/Datatypes/nat.ind#1/1
+alias id nat = cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)
alias num (instance 0) = "natural number"
### (* METASENV after disambiguation *)
### (* REDUCED disambiguated term *)
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) O)))))) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) O)))))) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) O)))))) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
O O)) (S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m
end}
(S (
Fix plus {
-plus / 0 : (n:nat)(m:nat)nat :=
+plus / 0 : (nat->(nat->nat)) :=
[n:nat][m:nat]
<[n0:nat]nat>Cases n of
O => m