Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > iotacl | Unicode version |
Description: Membership law for
descriptions.
This can useful for expanding an unbounded iota-based definition (see df-iota 5096). (Contributed by Andrew Salmon, 1-Aug-2011.) |
Ref | Expression |
---|---|
iotacl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iota4 5114 | . 2 | |
2 | df-sbc 2914 | . 2 | |
3 | 1, 2 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1481 weu 2000 cab 2126 wsbc 2913 cio 5094 |
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 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-eu 2003 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-rex 2423 df-v 2691 df-sbc 2914 df-un 3080 df-sn 3538 df-pr 3539 df-uni 3745 df-iota 5096 |
This theorem is referenced by: riotacl2 5751 eroprf 6530 |
Copyright terms: Public domain | W3C validator |