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Mirrors > Home > MPE Home > Th. List > r19.41 | Structured version Visualization version Unicode version |
Description: Restricted quantifier version of 19.41 2103. See r19.41v 3089 for a version with a dv condition, requiring fewer axioms. (Contributed by NM, 1-Nov-2010.) |
Ref | Expression |
---|---|
r19.41.1 |
Ref | Expression |
---|---|
r19.41 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anass 681 | . . . 4 | |
2 | 1 | exbii 1774 | . . 3 |
3 | r19.41.1 | . . . 4 | |
4 | 3 | 19.41 2103 | . . 3 |
5 | 2, 4 | bitr3i 266 | . 2 |
6 | df-rex 2918 | . 2 | |
7 | df-rex 2918 | . . 3 | |
8 | 7 | anbi1i 731 | . 2 |
9 | 5, 6, 8 | 3bitr4i 292 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wa 384 wex 1704 wnf 1708 wcel 1990 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-an 386 df-ex 1705 df-nf 1710 df-rex 2918 |
This theorem is referenced by: iunin1f 29374 |
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