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Mirrors > Home > ILE Home > Th. List > oprabbii | Unicode version |
Description: Equivalent wff's yield equal operation class abstractions. (Contributed by NM, 28-May-1995.) (Revised by David Abernethy, 19-Jun-2012.) |
Ref | Expression |
---|---|
oprabbii.1 |
Ref | Expression |
---|---|
oprabbii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2139 | . 2 | |
2 | oprabbii.1 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | 3 | oprabbidv 5825 | . 2 |
5 | 1, 4 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1331 coprab 5775 |
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-oprab 5778 |
This theorem is referenced by: oprab4 5842 mpov 5861 dfxp3 6092 tposmpo 6178 oviec 6535 dfplpq2 7162 dfmpq2 7163 dfmq0qs 7237 dfplq0qs 7238 addsrpr 7553 mulsrpr 7554 addcnsr 7642 mulcnsr 7643 addvalex 7652 |
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