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Mirrors > Home > NFE Home > Th. List > ax6o | Unicode version |
Description: Show that the original
axiom ax-6o 2137 can be derived from ax-6 1729
and
others. See ax6 2147 for the rederivation of ax-6 1729
from ax-6o 2137.
Normally, ax6o 1750 should be used rather than ax-6o 2137, except by theorems specifically studying the latter's properties. (Contributed by NM, 21-May-2008.) |
Ref | Expression |
---|---|
ax6o |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 1747 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | ax-6 1729 |
. 2
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3 | 1, 2 | nsyl4 134 |
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-11 1746 |
This theorem depends on definitions: df-bi 177 df-ex 1542 |
This theorem is referenced by: a6e 1751 modal-b 1752 hbnt 1775 nfndOLD 1792 equsalhwOLD 1839 ax9o 1950 |
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