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Mirrors > Home > MPE Home > Th. List > rexlimi | Structured version Visualization version Unicode version |
Description: Restricted quantifier version of exlimi 2086. (Contributed by NM, 30-Nov-2003.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
Ref | Expression |
---|---|
rexlimi.1 | |
rexlimi.2 |
Ref | Expression |
---|---|
rexlimi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexlimi.2 | . . 3 | |
2 | 1 | rgen 2922 | . 2 |
3 | rexlimi.1 | . . 3 | |
4 | 3 | r19.23 3022 | . 2 |
5 | 2, 4 | mpbi 220 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wnf 1708 wcel 1990 wral 2912 wrex 2913 |
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-12 2047 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 df-ral 2917 df-rex 2918 |
This theorem is referenced by: triun 4766 reusv1 4866 reusv1OLD 4867 reusv3 4876 iunopeqop 4981 tfinds 7059 fun11iun 7126 iunfo 9361 iundom2g 9362 fsumcom2 14505 fsumcom2OLD 14506 fprodcom2 14714 fprodcom2OLD 14715 dfon2lem7 31694 nosupbnd1 31860 nosupbnd2 31862 finminlem 32312 r19.36vf 39324 allbutfiinf 39647 infxrunb3rnmpt 39655 hoidmvlelem1 40809 reuan 41180 2zrngmmgm 41946 |
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