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Mirrors > Home > NFE Home > Th. List > sbc2ie | Unicode version |
Description: Conversion of implicit substitution to explicit class substitution. (Contributed by NM, 16-Dec-2008.) (Revised by Mario Carneiro, 19-Dec-2013.) |
Ref | Expression |
---|---|
sbc2ie.1 | |
sbc2ie.2 | |
sbc2ie.3 |
Ref | Expression |
---|---|
sbc2ie |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbc2ie.1 | . 2 | |
2 | sbc2ie.2 | . 2 | |
3 | nfv 1619 | . . 3 | |
4 | nfv 1619 | . . 3 | |
5 | 2 | nfth 1553 | . . 3 |
6 | sbc2ie.3 | . . 3 | |
7 | 3, 4, 5, 6 | sbc2iegf 3113 | . 2 |
8 | 1, 2, 7 | mp2an 653 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wceq 1642 wcel 1710 cvv 2860 wsbc 3047 |
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 2479 df-v 2862 df-sbc 3048 |
This theorem is referenced by: sbc3ie 3116 |
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