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Mirrors > Home > HOLE Home > Th. List > oveq2 | Unicode version |
Description: Equality theorem for binary operation. |
Ref | Expression |
---|---|
oveq.1 | |
oveq.2 | |
oveq.3 | |
oveq2.4 |
Ref | Expression |
---|---|
oveq2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oveq.1 | . 2 | |
2 | oveq.2 | . 2 | |
3 | oveq.3 | . 2 | |
4 | oveq2.4 | . . . 4 | |
5 | 4 | ax-cb1 29 | . . 3 |
6 | 5, 2 | eqid 73 | . 2 |
7 | 1, 2, 3, 6, 4 | oveq12 90 | 1 |
Colors of variables: type var term |
Syntax hints: ht 2 ke 7 kbr 9 wffMMJ2 11 wffMMJ2t 12 |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-trud 26 ax-cb1 29 ax-cb2 30 ax-refl 39 ax-eqmp 42 ax-ceq 46 |
This theorem depends on definitions: df-ov 65 |
This theorem is referenced by: imval 136 orval 137 anval 138 ecase 153 exlimdv2 156 exlimd 171 axpow 208 axun 209 |
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