Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > ax12vOLD | Structured version Visualization version Unicode version |
Description: Obsolete proof of ax12v2 2049 as of 24-Mar-2021. (Contributed by NM, 5-Aug-1993.) Removed dependencies on ax-10 2019 and ax-13 2246. (Revised by Jim Kingdon, 15-Dec-2017.) (Proof shortened by Wolf Lammen, 8-Dec-2019.) (Proof shortened by Wolf Lammen, 7-Mar-2021.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
ax12vOLD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equtrr 1949 | . . 3 | |
2 | ax-5 1839 | . . . . 5 | |
3 | ax-12 2047 | . . . . 5 | |
4 | 2, 3 | syl5 34 | . . . 4 |
5 | 1 | imim1d 82 | . . . . 5 |
6 | 5 | alimdv 1845 | . . . 4 |
7 | 4, 6 | syl9r 78 | . . 3 |
8 | 1, 7 | syld 47 | . 2 |
9 | ax6evr 1942 | . 2 | |
10 | 8, 9 | exlimiiv 1859 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 |
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 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |