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Mirrors > Home > ILE Home > Th. List > ssopab2i | Unicode version |
Description: Inference of ordered pair abstraction subclass from implication. (Contributed by NM, 5-Apr-1995.) |
Ref | Expression |
---|---|
ssopab2i.1 |
Ref | Expression |
---|---|
ssopab2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssopab2 4197 | . 2 | |
2 | ssopab2i.1 | . . 3 | |
3 | 2 | ax-gen 1425 | . 2 |
4 | 1, 3 | mpg 1427 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1329 wss 3071 copab 3988 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-in 3077 df-ss 3084 df-opab 3990 |
This theorem is referenced by: brab2a 4592 opabssxp 4613 funopab4 5160 ssoprab2i 5860 npsspw 7279 |
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