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Mirrors > Home > MPE Home > Th. List > nfwe | Structured version Visualization version Unicode version |
Description: Bound-variable hypothesis builder for well-orderings. (Contributed by Stefan O'Rear, 20-Jan-2015.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nffr.r |
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nffr.a |
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Ref | Expression |
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nfwe |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-we 4798 |
. 2
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2 | nffr.r |
. . . 4
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3 | nffr.a |
. . . 4
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4 | 2, 3 | nffr 4811 |
. . 3
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5 | 2, 3 | nfso 4764 |
. . 3
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6 | 4, 5 | nfan 2013 |
. 2
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7 | 1, 6 | nfxfr 1698 |
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 1671 ax-4 1684 ax-5 1760 ax-6 1807 ax-7 1853 ax-10 1917 ax-11 1922 ax-12 1935 ax-13 2093 ax-ext 2433 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-3or 987 df-3an 988 df-tru 1449 df-ex 1666 df-nf 1670 df-sb 1800 df-clab 2440 df-cleq 2446 df-clel 2449 df-nfc 2583 df-ral 2744 df-rex 2745 df-rab 2748 df-v 3049 df-dif 3409 df-un 3411 df-in 3413 df-ss 3420 df-nul 3734 df-if 3884 df-sn 3971 df-pr 3973 df-op 3977 df-br 4406 df-po 4758 df-so 4759 df-fr 4796 df-we 4798 |
This theorem is referenced by: nfoi 8034 aomclem6 35929 |
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