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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > sbcalgOLD | Structured version Visualization version Unicode version |
Description: Move universal quantifier in and out of class substitution. (Contributed by NM, 16-Jan-2004.) Obsolete as of 17-Aug-2018. Use sbcal 3328 instead. (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
sbcalgOLD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfsbcq2 3281 |
. 2
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2 | dfsbcq2 3281 |
. . 3
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3 | 2 | albidv 1777 |
. 2
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4 | sbal 2301 |
. 2
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5 | 1, 3, 4 | vtoclbg 3119 |
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 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-10 1925 ax-11 1930 ax-12 1943 ax-13 2101 ax-ext 2441 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-tru 1457 df-ex 1674 df-nf 1678 df-sb 1808 df-clab 2448 df-cleq 2454 df-clel 2457 df-v 3058 df-sbc 3279 |
This theorem is referenced by: sbcssOLD 36950 trsbcVD 37313 sbcssgVD 37319 |
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