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Mirrors > Home > HOLE Home > Th. List > ax-leq | Unicode version |
Description: Equality theorem for abstraction. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
ax-leq.1 |
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ax-leq.2 |
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ax-leq.3 |
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Ref | Expression |
---|---|
ax-leq |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tr |
. 2
term ![]() | |
2 | ke 7 |
. . . 4
term ![]() | |
3 | hal |
. . . . 5
type ![]() | |
4 | vx |
. . . . 5
var ![]() | |
5 | ta |
. . . . 5
term ![]() | |
6 | 3, 4, 5 | kl 6 |
. . . 4
term ![]() ![]() ![]() ![]() ![]() |
7 | 2, 6 | kc 5 |
. . 3
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | tb |
. . . 4
term ![]() | |
9 | 3, 4, 8 | kl 6 |
. . 3
term ![]() ![]() ![]() ![]() ![]() |
10 | 7, 9 | kc 5 |
. 2
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 1, 10 | wffMMJ2 11 |
1
wff ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: type var term |
This axiom is referenced by: leq 91 |
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