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Mirrors > Home > NFE Home > Th. List > hbae-o | Unicode version |
Description: All variables are effectively bound in an identical variable specifier. Version of hbae 1953 using ax-10o 2139. (Contributed by NM, 5-Aug-1993.) (Proof modification is disccouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
hbae-o |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 2135 |
. . . . 5
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2 | ax-12o 2142 |
. . . . 5
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3 | 1, 2 | syl7 63 |
. . . 4
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4 | ax-10o 2139 |
. . . . 5
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5 | 4 | aecoms-o 2152 |
. . . 4
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6 | ax-10o 2139 |
. . . . . . 7
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7 | 6 | pm2.43i 43 |
. . . . . 6
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8 | ax-10o 2139 |
. . . . . 6
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9 | 7, 8 | syl5 28 |
. . . . 5
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10 | 9 | aecoms-o 2152 |
. . . 4
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11 | 3, 5, 10 | pm2.61ii 157 |
. . 3
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12 | 11 | a5i-o 2150 |
. 2
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13 | ax-7 1734 |
. 2
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14 | 12, 13 | syl 15 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-7 1734 ax-4 2135 ax-5o 2136 ax-6o 2137 ax-10o 2139 ax-12o 2142 |
This theorem depends on definitions: df-bi 177 df-ex 1542 |
This theorem is referenced by: dral1-o 2154 hbnae-o 2179 dral2-o 2181 aev-o 2182 |
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