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Mathbox for Jonathan Ben-Naim |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj918 | 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 |
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bnj918.1 |
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Ref | Expression |
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bnj918 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj918.1 |
. 2
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2 | vex 3048 |
. . 3
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3 | snex 4641 |
. . 3
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4 | 2, 3 | unex 6589 |
. 2
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5 | 1, 4 | eqeltri 2525 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-8 1889 ax-9 1896 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 ax-ext 2431 ax-sep 4525 ax-nul 4534 ax-pr 4639 ax-un 6583 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-nfc 2581 df-ne 2624 df-rex 2743 df-v 3047 df-dif 3407 df-un 3409 df-nul 3732 df-sn 3969 df-pr 3971 df-uni 4199 |
This theorem is referenced by: bnj528 29700 bnj929 29747 bnj965 29753 bnj910 29759 bnj985 29764 bnj999 29768 bnj1018 29773 bnj907 29776 |
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