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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-rexcom4 | Structured version Visualization version Unicode version |
Description: Remove from rexcom4 3053 dependency on ax-ext 2451 and ax-13 2104 (and on df-or 377, df-tru 1455, df-sb 1806, df-clab 2458, df-cleq 2464, df-clel 2467, df-nfc 2601, df-v 3033). This proof uses only df-rex 2762 on top of first-order logic. (Contributed by BJ, 13-Jun-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-rexcom4 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2762 |
. 2
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2 | 19.42v 1842 |
. . . . 5
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3 | 2 | bicomi 207 |
. . . 4
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4 | 3 | exbii 1726 |
. . 3
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5 | excom 1944 |
. . . 4
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6 | df-rex 2762 |
. . . . . 6
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7 | 6 | bicomi 207 |
. . . . 5
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8 | 7 | exbii 1726 |
. . . 4
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9 | 5, 8 | bitri 257 |
. . 3
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10 | 4, 9 | bitri 257 |
. 2
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11 | 1, 10 | bitri 257 |
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 ax-11 1937 |
This theorem depends on definitions: df-bi 190 df-an 378 df-ex 1672 df-rex 2762 |
This theorem is referenced by: bj-rexcom4a 31547 |
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