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Mirrors > Home > MPE Home > Th. List > spcimdv | Structured version Visualization version Unicode version |
Description: Restricted specialization, using implicit substitution. (Contributed by Mario Carneiro, 4-Jan-2017.) |
Ref | Expression |
---|---|
spcimdv.1 | |
spcimdv.2 |
Ref | Expression |
---|---|
spcimdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spcimdv.2 | . . . 4 | |
2 | 1 | ex 450 | . . 3 |
3 | 2 | alrimiv 1855 | . 2 |
4 | spcimdv.1 | . 2 | |
5 | nfv 1843 | . . 3 | |
6 | nfcv 2764 | . . 3 | |
7 | 5, 6 | spcimgft 3284 | . 2 |
8 | 3, 4, 7 | sylc 65 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wal 1481 wceq 1483 wcel 1990 |
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: spcdv 3291 spcimedv 3292 rspcimdv 3310 mrieqv2d 16299 mreexexlemd 16304 intabssd 37916 |
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