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Mirrors > Home > MPE Home > Th. List > spc2ev | Structured version Visualization version Unicode version |
Description: Existential specialization, using implicit substitution. (Contributed by NM, 3-Aug-1995.) |
Ref | Expression |
---|---|
spc2ev.1 | |
spc2ev.2 | |
spc2ev.3 |
Ref | Expression |
---|---|
spc2ev |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spc2ev.1 | . 2 | |
2 | spc2ev.2 | . 2 | |
3 | spc2ev.3 | . . 3 | |
4 | 3 | spc2egv 3295 | . 2 |
5 | 1, 2, 4 | mp2an 708 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 wex 1704 wcel 1990 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-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-v 3202 |
This theorem is referenced by: relop 5272 endisj 8047 dcomex 9269 axcnre 9985 hashle2pr 13259 wlk2f 26525 uhgr3cyclex 27042 qqhval2 30026 itg2addnclem3 33463 funop1 41302 |
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