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Mirrors > Home > MPE Home > Th. List > spimed | Structured version Visualization version Unicode version |
Description: Deduction version of spime 2256. (Contributed by NM, 14-May-1993.) (Revised by Mario Carneiro, 3-Oct-2016.) (Proof shortened by Wolf Lammen, 19-Feb-2018.) |
Ref | Expression |
---|---|
spimed.1 | |
spimed.2 |
Ref | Expression |
---|---|
spimed |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spimed.1 | . . 3 | |
2 | 1 | nf5rd 2066 | . 2 |
3 | ax6e 2250 | . . . 4 | |
4 | spimed.2 | . . . 4 | |
5 | 3, 4 | eximii 1764 | . . 3 |
6 | 5 | 19.35i 1806 | . 2 |
7 | 2, 6 | syl6 35 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 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-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: spime 2256 2ax6elem 2449 |
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