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Mirrors > Home > MPE Home > Th. List > sbciegf | Structured version Visualization version Unicode version |
Description: Conversion of implicit substitution to explicit class substitution. (Contributed by NM, 14-Dec-2005.) (Revised by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
sbciegf.1 | |
sbciegf.2 |
Ref | Expression |
---|---|
sbciegf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbciegf.1 | . 2 | |
2 | sbciegf.2 | . . 3 | |
3 | 2 | ax-gen 1722 | . 2 |
4 | sbciegft 3466 | . 2 | |
5 | 1, 3, 4 | mp3an23 1416 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wal 1481 wceq 1483 wnf 1708 wcel 1990 wsbc 3435 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-v 3202 df-sbc 3436 |
This theorem is referenced by: sbcieg 3468 opelopabgf 4995 opelopabf 5000 eqerlem 7776 iunxsngf 29375 bnj919 30837 bnj1464 30914 bnj1123 31054 bnj1373 31098 poimirlem25 33434 sbccomieg 37357 aomclem6 37629 fveqsb 38657 rexsngf 39220 |
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