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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-ax6e | Structured version Visualization version Unicode version |
Description: Proof of ax6e 2250 (hence ax6 2251) from Tarski's system, ax-c9 34175, ax-c16 34177. Remark: ax-6 1888 is used only via its principal (unbundled) instance ax6v 1889. (Contributed by BJ, 22-Dec-2020.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bj-ax6e |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.2 1892 | . . . 4 | |
2 | 1 | a1d 25 | . . 3 |
3 | bj-ax6elem1 32651 | . . . 4 | |
4 | bj-ax6elem2 32652 | . . . 4 | |
5 | 3, 4 | syl6 35 | . . 3 |
6 | 2, 5 | pm2.61i 176 | . 2 |
7 | ax6evr 1942 | . 2 | |
8 | 6, 7 | exlimiiv 1859 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wal 1481 wex 1704 |
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-tru 1486 df-ex 1705 df-nf 1710 |
This theorem is referenced by: (None) |
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