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Mirrors > Home > ILE Home > Th. List > csbriotag | Unicode version |
Description: Interchange class substitution and restricted description binder. (Contributed by NM, 24-Feb-2013.) |
Ref | Expression |
---|---|
csbriotag |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbeq1 2978 | . . 3 | |
2 | dfsbcq2 2885 | . . . 4 | |
3 | 2 | riotabidv 5700 | . . 3 |
4 | 1, 3 | eqeq12d 2132 | . 2 |
5 | vex 2663 | . . 3 | |
6 | nfs1v 1892 | . . . 4 | |
7 | nfcv 2258 | . . . 4 | |
8 | 6, 7 | nfriota 5707 | . . 3 |
9 | sbequ12 1729 | . . . 4 | |
10 | 9 | riotabidv 5700 | . . 3 |
11 | 5, 8, 10 | csbief 3014 | . 2 |
12 | 4, 11 | vtoclg 2720 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1316 wcel 1465 wsb 1720 wsbc 2882 csb 2975 crio 5697 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 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-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 df-v 2662 df-sbc 2883 df-csb 2976 df-sn 3503 df-uni 3707 df-iota 5058 df-riota 5698 |
This theorem is referenced by: (None) |
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