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Mirrors > Home > ILE Home > Th. List > spimed | Unicode version |
Description: Deduction version of spime 1719. (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 1500 | . 2 |
3 | a9e 1674 | . . . 4 | |
4 | spimed.2 | . . . 4 | |
5 | 3, 4 | eximii 1581 | . . 3 |
6 | 5 | 19.35i 1604 | . 2 |
7 | 2, 6 | syl6 33 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1329 wnf 1436 wex 1468 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1437 |
This theorem is referenced by: spime 1719 |
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