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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-csbprc | Structured version Unicode version |
Description: More direct proof of csbprc 3774 (fewer essential steps). (Contributed by BJ, 24-Jul-2019.) |
Ref | Expression |
---|---|
bj-csbprc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-csb 3390 |
. 2
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2 | sbcex 3297 |
. . . . 5
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3 | 2 | con3i 135 |
. . . 4
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4 | 3 | alrimiv 1686 |
. . 3
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5 | bj-abfal 32712 |
. . 3
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6 | 4, 5 | syl 16 |
. 2
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7 | 1, 6 | syl5eq 2504 |
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 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1952 ax-ext 2430 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2601 df-ne 2646 df-v 3073 df-sbc 3288 df-csb 3390 df-dif 3432 df-nul 3739 |
This theorem is referenced by: (None) |
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