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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 |
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Ref | Expression |
---|---|
opabbii |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2177 |
. 2
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2 | opabbii.1 |
. . . 4
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3 | 2 | a1i 9 |
. . 3
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4 | 3 | opabbidv 4066 |
. 2
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5 | 1, 4 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-opab 4062 |
This theorem is referenced by: mptv 4097 fconstmpt 4670 xpundi 4679 xpundir 4680 inxp 4757 cnvco 4808 resopab 4947 opabresid 4956 cnvi 5029 cnvun 5030 cnvin 5032 cnvxp 5043 cnvcnv3 5074 coundi 5126 coundir 5127 mptun 5343 fvopab6 5608 cbvoprab1 5941 cbvoprab12 5943 dmoprabss 5951 mpomptx 5960 resoprab 5965 ov6g 6006 dfoprab3s 6185 dfoprab3 6186 dfoprab4 6187 mapsncnv 6689 xpcomco 6820 dmaddpq 7366 dmmulpq 7367 recmulnqg 7378 enq0enq 7418 ltrelxr 8005 ltxr 9759 shftidt2 10822 lmfval 13352 lmbr 13373 cnmptid 13441 |
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