(45steps)
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Lemmas
list
3
jlc
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At:
sublist
transitivity
1
1
1
1
1
1
1
1
1
1
1.
T:
Type
2.
Discrete{T}
3.
eq:
{T
}
4.
eq
T
T
5.
x:T. eq(x,x)
6.
x,y:T. eq(x,y)
eq(y,x)
7.
x,y,z:T. eq(x,y)
eq(y,z)
eq(x,z)
8.
L1:
T List
9.
L2:
T List
10.
L3:
T List
11.
f:
{T=
}
12.
f
T
T
13.
x,y:T. f(x,y)
x = y
14.
z:
T
15.
z(
f) L1
16.
z:T. z(
f) L2
z(
eq) L3
17.
z(
eq) L2
z(
eq) L3
By:
ListInd 9
Generated subgoals:
1
(
z:T. z(
f) nil
z(
eq) L3)
z(
eq) nil
z(
eq) L3
2
16.
u:
T
17.
v:
T List
18.
(
z:T. z(
f) v
z(
eq) L3)
z(
eq) v
z(
eq) L3
(
z:T. z(
f) (u.v)
z(
eq) L3)
z(
eq) (u.v)
z(
eq) L3
About:
(45steps)
PrintForm
Definitions
Lemmas
list
3
jlc
Sections
Support(jlc)
Doc