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Mirrors > Home > ILE Home > Th. List > difeq1i | Unicode version |
Description: Inference adding difference to the right in a class equality. (Contributed by NM, 15-Nov-2002.) |
Ref | Expression |
---|---|
difeq1i.1 |
Ref | Expression |
---|---|
difeq1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | difeq1i.1 | . 2 | |
2 | difeq1 3229 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1342 cdif 3109 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rab 2451 df-dif 3114 |
This theorem is referenced by: difeq12i 3234 indif1 3363 indifcom 3364 difun1 3378 notab 3388 notrab 3395 difprsn1 3707 difprsn2 3708 orddif 4519 resdifcom 4897 resdmdfsn 4922 phplem1 6810 dfn2 9119 |
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