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Mathbox for Jonathan Ben-Naim |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj1209 | Structured version Visualization version Unicode version |
Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bnj1209.1 |
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bnj1209.2 |
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Ref | Expression |
---|---|
bnj1209 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1209.1 |
. . . . 5
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2 | 1 | bnj1196 29678 |
. . . 4
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3 | 2 | ancli 560 |
. . 3
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4 | 19.42v 1842 |
. . 3
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5 | 3, 4 | sylibr 217 |
. 2
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6 | bnj1209.2 |
. . 3
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7 | 3anass 1011 |
. . 3
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8 | 6, 7 | bitri 257 |
. 2
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9 | 5, 8 | bnj1198 29679 |
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 1677 ax-4 1690 ax-5 1766 ax-6 1813 |
This theorem depends on definitions: df-bi 190 df-an 378 df-3an 1009 df-ex 1672 df-rex 2762 |
This theorem is referenced by: bnj1501 29948 bnj1523 29952 |
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