(16steps)
PrintForm
Definitions
Lemmas
list
3
jlc
Sections
Support(jlc)
Doc
At:
is
member
append
lemma1
1
1.
T:
Type
2.
eq:
{T
}
3.
eq
T
T
4.
x:T. eq(x,x)
5.
x,y:T. eq(x,y)
eq(y,x)
6.
x,y,z:T. eq(x,y)
eq(y,z)
eq(x,z)
7.
L:
T List
8.
x:
T
9.
x(
eq) L
M,N:T List, y:T. eq(x,y) & L = (M @ (y.N))
By:
ListInd -3
THEN
Reduce 0
Generated subgoals:
1
False
(
M,N:T List, y:T. eq(x,y) & nil = (M @ (y.N)))
2
9.
u:
T
10.
v:
T List
11.
x(
eq) v
(
M,N:T List, y:T. eq(x,y) & v = (M @ (y.N)))
if eq(x,u)
true
else x(
eq) v fi
(
M,N:T List, y:T. eq(x,y) & u.v = (M @ (y.N)))
About:
(16steps)
PrintForm
Definitions
Lemmas
list
3
jlc
Sections
Support(jlc)
Doc