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Mirrors > Home > MPE Home > Th. List > axc16ALT | Structured version Visualization version Unicode version |
Description: Alternate proof of axc16 2035, shorter but requiring ax-11 1931 and using df-sb 1809. (Contributed by NM, 17-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
axc16ALT |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12 2094 |
. 2
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2 | ax-5 1769 |
. . 3
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3 | 2 | hbsb3 2204 |
. 2
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4 | 1, 3 | axc16i 2167 |
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 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-11 1931 ax-12 1944 ax-13 2102 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1675 df-nf 1679 df-sb 1809 |
This theorem is referenced by: axc16gALT 2207 |
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