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Mirrors > Home > HOLE Home > Th. List > ax-ded | Unicode version |
Description: Deduction theorem for equality. (Contributed by Mario Carneiro, 7-Oct-2014.) |
Ref | Expression |
---|---|
ax-ded.1 |
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ax-ded.2 |
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Ref | Expression |
---|---|
ax-ded |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tr |
. 2
term ![]() | |
2 | ke 7 |
. . . 4
term ![]() | |
3 | ts |
. . . 4
term ![]() | |
4 | 2, 3 | kc 5 |
. . 3
term ![]() ![]() ![]() ![]() |
5 | tt |
. . 3
term ![]() | |
6 | 4, 5 | kc 5 |
. 2
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 1, 6 | wffMMJ2 11 |
1
wff ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: type var term |
This axiom is referenced by: ded 84 |
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