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Mirrors > Home > ILE Home > Th. List > difeq1d | Unicode version |
Description: Deduction adding difference to the right in a class equality. (Contributed by NM, 15-Nov-2002.) |
Ref | Expression |
---|---|
difeq1d.1 |
Ref | Expression |
---|---|
difeq1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | difeq1d.1 | . 2 | |
2 | difeq1 3187 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 cdif 3068 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 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-clel 2135 df-nfc 2270 df-rab 2425 df-dif 3073 |
This theorem is referenced by: difeq12d 3195 diftpsn3 3661 phplem4 6749 phplem3g 6750 phplem4on 6761 en2other2 7052 isstruct2im 11969 isstruct2r 11970 setsfun0 11995 cldval 12268 difopn 12277 cnclima 12392 |
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