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Mirrors > Home > ILE Home > Th. List > toptopon | Unicode version |
Description: Alternative definition of
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Ref | Expression |
---|---|
toptopon.1 |
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Ref | Expression |
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toptopon |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | toptopon.1 |
. . 3
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2 | istopon 12020 |
. . 3
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3 | 1, 2 | mpbiran2 908 |
. 2
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4 | 3 | bicomi 131 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 681 ax-5 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-10 1466 ax-11 1467 ax-i12 1468 ax-bndl 1469 ax-4 1470 ax-13 1474 ax-14 1475 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 ax-ext 2097 ax-sep 4006 ax-pow 4058 ax-pr 4091 ax-un 4315 |
This theorem depends on definitions: df-bi 116 df-3an 947 df-tru 1317 df-nf 1420 df-sb 1719 df-eu 1978 df-mo 1979 df-clab 2102 df-cleq 2108 df-clel 2111 df-nfc 2244 df-ral 2395 df-rex 2396 df-rab 2399 df-v 2659 df-sbc 2879 df-un 3041 df-in 3043 df-ss 3050 df-pw 3478 df-sn 3499 df-pr 3500 df-op 3502 df-uni 3703 df-br 3896 df-opab 3950 df-mpt 3951 df-id 4175 df-xp 4505 df-rel 4506 df-cnv 4507 df-co 4508 df-dm 4509 df-iota 5046 df-fun 5083 df-fv 5089 df-topon 12018 |
This theorem is referenced by: toptopon2 12026 eltpsi 12048 restuni 12181 stoig 12182 iscn2 12208 lmcvg 12225 cnpnei 12227 cnss1 12234 cnss2 12235 cncnpi 12236 cncnp2m 12239 cnnei 12240 cnrest 12243 cnrest2 12244 cnrest2r 12245 cnptoprest 12247 cnptoprest2 12248 lmss 12254 txuni 12271 txcnmpt 12281 txcn 12283 cnmpt11 12291 cnmpt11f 12292 imasnopn 12307 retopon 12512 |
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