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Mirrors > Home > MPE Home > Th. List > axc9 | Structured version Visualization version Unicode version |
Description: Derive set.mm's original ax-c9 32526 from the shorter ax-13 2104. (Contributed by NM, 29-Nov-2015.) (Revised by NM, 24-Dec-2015.) (Proof shortened by Wolf Lammen, 29-Apr-2018.) |
Ref | Expression |
---|---|
axc9 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfeqf 2152 |
. . 3
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2 | 1 | nfrd 1973 |
. 2
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3 | 2 | ex 441 |
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 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-10 1932 ax-12 1950 ax-13 2104 |
This theorem depends on definitions: df-bi 190 df-an 378 df-ex 1672 df-nf 1676 |
This theorem is referenced by: ax13 2155 hbae 2164 axi12 2449 axbnd 2450 axext4dist 30518 bj-ax6elem1 31328 bj-hbaeb2 31486 wl-aleq 31938 ax12eq 32576 ax12indalem 32580 |
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