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Mirrors > Home > HOLE Home > Th. List > ax-beta | Unicode version |
Description: Axiom of beta-substitution. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
ax-beta.1 |
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Ref | Expression |
---|---|
ax-beta |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | kt 8 |
. 2
term ![]() | |
2 | ke 7 |
. . . 4
term ![]() | |
3 | hal |
. . . . . 6
type ![]() | |
4 | vx |
. . . . . 6
var ![]() | |
5 | ta |
. . . . . 6
term ![]() | |
6 | 3, 4, 5 | kl 6 |
. . . . 5
term ![]() ![]() ![]() ![]() ![]() |
7 | 3, 4 | tv 1 |
. . . . 5
term ![]() ![]() ![]() |
8 | 6, 7 | kc 5 |
. . . 4
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 2, 8 | kc 5 |
. . 3
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 9, 5 | kc 5 |
. 2
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 1, 10 | wffMMJ2 11 |
1
wff ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: type var term |
This axiom is referenced by: beta 92 |
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