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Mirrors > Home > MPE Home > Th. List > cbvopabv | Structured version Visualization version Unicode version |
Description: Rule used to change bound variables in an ordered-pair class abstraction, using implicit substitution. (Contributed by NM, 15-Oct-1996.) |
Ref | Expression |
---|---|
cbvopabv.1 |
Ref | Expression |
---|---|
cbvopabv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1843 | . 2 | |
2 | nfv 1843 | . 2 | |
3 | nfv 1843 | . 2 | |
4 | nfv 1843 | . 2 | |
5 | cbvopabv.1 | . 2 | |
6 | 1, 2, 3, 4, 5 | cbvopab 4721 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 copab 4712 |
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-3an 1039 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-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-opab 4713 |
This theorem is referenced by: cantnf 8590 infxpen 8837 axdc2 9271 fpwwe2cbv 9452 fpwwecbv 9466 sylow1 18018 bcth 23126 vitali 23382 lgsquadlem3 25107 lgsquad 25108 islnopp 25631 ishpg 25651 hpgbr 25652 trgcopy 25696 trgcopyeu 25698 acopyeu 25725 tgasa1 25739 axcontlem1 25844 eulerpartlemgvv 30438 eulerpart 30444 cvmlift2lem13 31297 pellex 37399 aomclem8 37631 sprsymrelf 41745 |
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