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Mirrors > Home > MPE Home > Th. List > elab4g | Structured version Visualization version Unicode version |
Description: Membership in a class abstraction, using implicit substitution. (Contributed by NM, 17-Oct-2012.) |
Ref | Expression |
---|---|
elab4g.1 | |
elab4g.2 |
Ref | Expression |
---|---|
elab4g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 3212 | . 2 | |
2 | elab4g.1 | . . 3 | |
3 | elab4g.2 | . . 3 | |
4 | 2, 3 | elab2g 3353 | . 2 |
5 | 1, 4 | biadan2 674 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 wcel 1990 cab 2608 cvv 3200 |
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-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-v 3202 |
This theorem is referenced by: isprs 16930 ispos 16947 istrkgc 25353 istrkgb 25354 istrkgcb 25355 istrkge 25356 istrkgl 25357 eulerpartlemt0 30431 istrkg2d 30744 |
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