![]() |
Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > HOLE Home > Th. List > ax-distrc | Unicode version |
Description: Distribution of combination over substitution. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
ax-beta.1 |
![]() ![]() ![]() ![]() |
ax-distrc.2 |
![]() ![]() ![]() ![]() |
ax-distrc.3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
ax-distrc |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | kt 8 |
. 2
term ![]() | |
2 | ke 7 |
. . . 4
term ![]() | |
3 | hal |
. . . . . 6
type ![]() | |
4 | vx |
. . . . . 6
var ![]() | |
5 | tf |
. . . . . . 7
term ![]() | |
6 | ta |
. . . . . . 7
term ![]() | |
7 | 5, 6 | kc 5 |
. . . . . 6
term ![]() ![]() ![]() ![]() |
8 | 3, 4, 7 | kl 6 |
. . . . 5
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | tb |
. . . . 5
term ![]() | |
10 | 8, 9 | kc 5 |
. . . 4
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 2, 10 | kc 5 |
. . 3
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 3, 4, 5 | kl 6 |
. . . . 5
term ![]() ![]() ![]() ![]() ![]() |
13 | 12, 9 | kc 5 |
. . . 4
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 3, 4, 6 | kl 6 |
. . . . 5
term ![]() ![]() ![]() ![]() ![]() |
15 | 14, 9 | kc 5 |
. . . 4
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 13, 15 | kc 5 |
. . 3
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 11, 16 | kc 5 |
. 2
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 1, 17 | wffMMJ2 11 |
1
wff ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: type var term |
This axiom is referenced by: distrc 93 |
Copyright terms: Public domain | W3C validator |