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Mirrors > Home > NFE 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 10 | . . 3 |
4 | csbief.3 | . . 3 | |
5 | 3, 4 | csbiegf 3176 | . 2 |
6 | 1, 5 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wceq 1642 wcel 1710 wnfc 2476 cvv 2859 csb 3136 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-3an 936 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-v 2861 df-sbc 3047 df-csb 3137 |
This theorem is referenced by: csbing 3462 csbifg 3690 csbiotag 4371 csbopabg 4637 csbima12g 4955 csbovg 5552 eqerlem 5960 |
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