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Mirrors > Home > ILE Home > Th. List > ifelpwun | Unicode version |
Description: Existence of a conditional class, quantitative version (inference form). (Contributed by BJ, 15-Aug-2024.) |
Ref | Expression |
---|---|
ifelpwun.1 | |
ifelpwun.2 |
Ref | Expression |
---|---|
ifelpwun |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ifelpwun.1 | . 2 | |
2 | ifelpwun.2 | . 2 | |
3 | ifelpwung 4459 | . 2 | |
4 | 1, 2, 3 | mp2an 423 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 2136 cvv 2726 cun 3114 cif 3520 cpw 3559 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1435 ax-7 1436 ax-gen 1437 ax-ie1 1481 ax-ie2 1482 ax-8 1492 ax-10 1493 ax-11 1494 ax-i12 1495 ax-bndl 1497 ax-4 1498 ax-17 1514 ax-i9 1518 ax-ial 1522 ax-i5r 1523 ax-13 2138 ax-14 2139 ax-ext 2147 ax-sep 4100 ax-pr 4187 ax-un 4411 |
This theorem depends on definitions: df-bi 116 df-tru 1346 df-nf 1449 df-sb 1751 df-clab 2152 df-cleq 2158 df-clel 2161 df-nfc 2297 df-rex 2450 df-rab 2453 df-v 2728 df-un 3120 df-in 3122 df-ss 3129 df-if 3521 df-pw 3561 df-sn 3582 df-pr 3583 df-uni 3790 |
This theorem is referenced by: fmelpw1o 13688 bj-charfun 13689 |
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