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Mirrors > Home > ILE Home > Th. List > csbiedf | Unicode version |
Description: Conversion of implicit substitution to explicit substitution into a class. (Contributed by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
csbiedf.1 | |
csbiedf.2 | |
csbiedf.3 | |
csbiedf.4 |
Ref | Expression |
---|---|
csbiedf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbiedf.1 | . . 3 | |
2 | csbiedf.4 | . . . 4 | |
3 | 2 | ex 113 | . . 3 |
4 | 1, 3 | alrimi 1455 | . 2 |
5 | csbiedf.3 | . . 3 | |
6 | csbiedf.2 | . . 3 | |
7 | csbiebt 2942 | . . 3 | |
8 | 5, 6, 7 | syl2anc 403 | . 2 |
9 | 4, 8 | mpbid 145 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 wal 1282 wceq 1284 wnf 1389 wcel 1433 wnfc 2206 csb 2908 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-v 2603 df-sbc 2816 df-csb 2909 |
This theorem is referenced by: csbied 2948 csbie2t 2950 |
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