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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-sucexg | Unicode version |
Description: sucexg 4518 from bounded separation. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-sucexg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-snexg 15150 |
. . . 4
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2 | 1 | pm4.71i 391 |
. . 3
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3 | 2 | biimpi 120 |
. 2
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4 | bj-unexg 15159 |
. 2
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5 | df-suc 4392 |
. . . 4
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6 | 5 | eleq1i 2255 |
. . 3
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7 | 6 | biimpri 133 |
. 2
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8 | 3, 4, 7 | 3syl 17 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-13 2162 ax-14 2163 ax-ext 2171 ax-pr 4230 ax-un 4454 ax-bd0 15051 ax-bdor 15054 ax-bdex 15057 ax-bdeq 15058 ax-bdel 15059 ax-bdsb 15060 ax-bdsep 15122 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-rex 2474 df-v 2754 df-un 3148 df-sn 3616 df-pr 3617 df-uni 3828 df-suc 4392 df-bdc 15079 |
This theorem is referenced by: bj-sucex 15161 |
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