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Mirrors > Home > MPE Home > Th. List > ceqsalv | Structured version Visualization version Unicode version |
Description: A representation of explicit substitution of a class for a variable, inferred from an implicit substitution hypothesis. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
ceqsalv.1 | |
ceqsalv.2 |
Ref | Expression |
---|---|
ceqsalv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1843 | . 2 | |
2 | ceqsalv.1 | . 2 | |
3 | ceqsalv.2 | . 2 | |
4 | 1, 2, 3 | ceqsal 3232 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wal 1481 wceq 1483 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-12 2047 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 |
This theorem is referenced by: ralxpxfr2d 3327 clel2 3339 clel4 3342 frsn 5189 raliunxp 5261 fv3 6206 funimass4 6247 marypha2lem3 8343 kmlem12 8983 fpwwe2lem12 9463 vdwmc2 15683 itg2leub 23501 nmoubi 27627 choc0 28185 nmopub 28767 nmfnleub 28784 elintfv 31662 heibor1lem 33608 elmapintrab 37882 |
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