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Mirrors > Home > ILE Home > Th. List > bastop2 | Unicode version |
Description: A version of bastop1 13966 that doesn't have ![]() ![]() ![]() |
Ref | Expression |
---|---|
bastop2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleq1 2251 |
. . . . . . . 8
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2 | 1 | biimparc 299 |
. . . . . . 7
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3 | tgclb 13948 |
. . . . . . 7
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4 | 2, 3 | sylibr 134 |
. . . . . 6
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5 | bastg 13944 |
. . . . . 6
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6 | 4, 5 | syl 14 |
. . . . 5
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7 | simpr 110 |
. . . . 5
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8 | 6, 7 | sseqtrd 3207 |
. . . 4
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9 | 8 | ex 115 |
. . 3
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10 | 9 | pm4.71rd 394 |
. 2
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11 | bastop1 13966 |
. . 3
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12 | 11 | pm5.32da 452 |
. 2
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13 | 10, 12 | bitrd 188 |
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-in1 615 ax-in2 616 ax-io 710 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-13 2161 ax-14 2162 ax-ext 2170 ax-sep 4135 ax-pow 4188 ax-pr 4223 ax-un 4447 |
This theorem depends on definitions: df-bi 117 df-3an 981 df-tru 1366 df-fal 1369 df-nf 1471 df-sb 1773 df-eu 2040 df-mo 2041 df-clab 2175 df-cleq 2181 df-clel 2184 df-nfc 2320 df-ral 2472 df-rex 2473 df-v 2753 df-sbc 2977 df-dif 3145 df-un 3147 df-in 3149 df-ss 3156 df-nul 3437 df-pw 3591 df-sn 3612 df-pr 3613 df-op 3615 df-uni 3824 df-br 4018 df-opab 4079 df-mpt 4080 df-id 4307 df-xp 4646 df-rel 4647 df-cnv 4648 df-co 4649 df-dm 4650 df-iota 5192 df-fun 5232 df-fv 5238 df-topgen 12730 df-top 13881 df-bases 13926 |
This theorem is referenced by: (None) |
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