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Mirrors > Home > ILE Home > Th. List > opabbii | Unicode version |
Description: Equivalent wff's yield equal class abstractions. (Contributed by NM, 15-May-1995.) |
Ref | Expression |
---|---|
opabbii.1 |
Ref | Expression |
---|---|
opabbii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2139 | . 2 | |
2 | opabbii.1 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | 3 | opabbidv 3994 | . 2 |
5 | 1, 4 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1331 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-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 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-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-opab 3990 |
This theorem is referenced by: mptv 4025 fconstmpt 4586 xpundi 4595 xpundir 4596 inxp 4673 cnvco 4724 resopab 4863 opabresid 4872 cnvi 4943 cnvun 4944 cnvin 4946 cnvxp 4957 cnvcnv3 4988 coundi 5040 coundir 5041 mptun 5254 fvopab6 5517 cbvoprab1 5843 cbvoprab12 5845 dmoprabss 5853 mpomptx 5862 resoprab 5867 ov6g 5908 dfoprab3s 6088 dfoprab3 6089 dfoprab4 6090 mapsncnv 6589 xpcomco 6720 dmaddpq 7187 dmmulpq 7188 recmulnqg 7199 enq0enq 7239 ltrelxr 7825 ltxr 9562 shftidt2 10604 lmfval 12361 lmbr 12382 cnmptid 12450 |
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