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Mirrors > Home > ILE Home > Th. List > spimed | Unicode version |
Description: Deduction version of spime 1669. (Contributed by NM, 5-Aug-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 | nfrd 1453 | . 2 |
3 | a9e 1626 | . . . 4 | |
4 | spimed.2 | . . . 4 | |
5 | 3, 4 | eximii 1533 | . . 3 |
6 | 5 | 19.35i 1556 | . 2 |
7 | 2, 6 | syl6 33 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1282 wnf 1389 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-i9 1463 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-nf 1390 |
This theorem is referenced by: spime 1669 |
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