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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 2117 | . 2 | |
2 | opabbii.1 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | 3 | opabbidv 3964 | . 2 |
5 | 1, 4 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1316 copab 3958 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-opab 3960 |
This theorem is referenced by: mptv 3995 fconstmpt 4556 xpundi 4565 xpundir 4566 inxp 4643 cnvco 4694 resopab 4833 opabresid 4842 cnvi 4913 cnvun 4914 cnvin 4916 cnvxp 4927 cnvcnv3 4958 coundi 5010 coundir 5011 mptun 5224 fvopab6 5485 cbvoprab1 5811 cbvoprab12 5813 dmoprabss 5821 mpomptx 5830 resoprab 5835 ov6g 5876 dfoprab3s 6056 dfoprab3 6057 dfoprab4 6058 mapsncnv 6557 xpcomco 6688 dmaddpq 7155 dmmulpq 7156 recmulnqg 7167 enq0enq 7207 ltrelxr 7793 ltxr 9530 shftidt2 10572 lmfval 12288 lmbr 12309 cnmptid 12377 |
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