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Mirrors > Home > HOLE Home > Th. List > oveq2 | Unicode version |
Description: Equality theorem for binary operation. (Contributed by Mario Carneiro, 7-Oct-2014.) |
Ref | Expression |
---|---|
oveq.1 |
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oveq.2 |
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oveq.3 |
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oveq2.4 |
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Ref | Expression |
---|---|
oveq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oveq.1 |
. 2
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2 | oveq.2 |
. 2
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3 | oveq.3 |
. 2
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4 | oveq2.4 |
. . . 4
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5 | 4 | ax-cb1 29 |
. . 3
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6 | 5, 2 | eqid 83 |
. 2
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7 | 1, 2, 3, 6, 4 | oveq12 100 |
1
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Colors of variables: type var term |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-trud 26 ax-cb1 29 ax-cb2 30 ax-weq 40 ax-refl 42 ax-eqmp 45 ax-wc 49 ax-ceq 51 ax-wov 71 ax-eqtypi 77 ax-eqtypri 80 |
This theorem depends on definitions: df-ov 73 |
This theorem is referenced by: imval 146 orval 147 anval 148 ecase 163 exlimdv2 166 exlimd 183 axpow 221 axun 222 |
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