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Mirrors > Home > NFE Home > Th. List > ax10o | Unicode version |
Description: Show that ax-10o 2139 can be derived from ax-10 2140 in the form of ax10 1944. Normally, ax10o 1952 should be used rather than ax-10o 2139, except by theorems specifically studying the latter's properties. (Contributed by NM, 16-May-2008.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
ax10o |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax10 1944 |
. 2
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2 | ax-11 1746 |
. . . 4
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3 | 2 | equcoms 1681 |
. . 3
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4 | 3 | sps 1754 |
. 2
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5 | pm2.27 35 |
. . 3
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6 | 5 | al2imi 1561 |
. 2
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7 | 1, 4, 6 | sylsyld 52 |
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 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 |
This theorem is referenced by: hbae 1953 dvelimh 1964 dral1 1965 |
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