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Mirrors > Home > ILE Home > Th. List > csbief | Unicode version |
Description: Conversion of implicit substitution to explicit substitution into a class. (Contributed by NM, 26-Nov-2005.) (Revised by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
csbief.1 | |
csbief.2 | |
csbief.3 |
Ref | Expression |
---|---|
csbief |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbief.1 | . 2 | |
2 | csbief.2 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | csbief.3 | . . 3 | |
5 | 3, 4 | csbiegf 3038 | . 2 |
6 | 1, 5 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 wcel 1480 wnfc 2266 cvv 2681 csb 2998 |
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 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-sbc 2905 df-csb 2999 |
This theorem is referenced by: csbie 3040 csbing 3278 csbopabg 4001 pofun 4229 csbima12g 4895 csbiotag 5111 csbriotag 5735 csbov123g 5802 eqerlem 6453 zsumdc 11146 |
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