Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-rexcom4 | Structured version Visualization version Unicode version |
Description: Remove from rexcom4 3225 dependency on ax-ext 2602 and ax-13 2246 (and on df-or 385, df-tru 1486, df-sb 1881, df-clab 2609, df-cleq 2615, df-clel 2618, df-nfc 2753, df-v 3202). This proof uses only df-rex 2918 on top of first-order logic. (Contributed by BJ, 13-Jun-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-rexcom4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2918 | . 2 | |
2 | 19.42v 1918 | . . . . 5 | |
3 | 2 | bicomi 214 | . . . 4 |
4 | 3 | exbii 1774 | . . 3 |
5 | excom 2042 | . . . 4 | |
6 | df-rex 2918 | . . . . . 6 | |
7 | 6 | bicomi 214 | . . . . 5 |
8 | 7 | exbii 1774 | . . . 4 |
9 | 5, 8 | bitri 264 | . . 3 |
10 | 4, 9 | bitri 264 | . 2 |
11 | 1, 10 | bitri 264 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wa 384 wex 1704 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-11 2034 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-rex 2918 |
This theorem is referenced by: bj-rexcom4a 32870 |
Copyright terms: Public domain | W3C validator |