Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-equs45fv | Structured version Visualization version Unicode version |
Description: Version of equs45f 2350 with a dv condition, which does not require ax-13 2246. Note that the version of equs5 2351 with a dv condition is actually sb56 2150 (up to adding a superfluous antecedent). (Contributed by BJ, 11-Sep-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-equs45fv.1 |
Ref | Expression |
---|---|
bj-equs45fv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-equs45fv.1 | . . . . . 6 | |
2 | 1 | nf5ri 2065 | . . . . 5 |
3 | 2 | anim2i 593 | . . . 4 |
4 | 3 | eximi 1762 | . . 3 |
5 | equs5a 2348 | . . 3 | |
6 | 4, 5 | syl 17 | . 2 |
7 | equs4v 1930 | . 2 | |
8 | 6, 7 | impbii 199 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wex 1704 wnf 1708 |
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-10 2019 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |