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Mirrors > Home > ILE Home > Th. List > 19.9hd | Unicode version |
Description: A deduction version of one direction of 19.9 1575. This is an older variation of this theorem; new proofs should use 19.9d 1591. (Contributed by NM, 5-Aug-1993.) (New usage is discouraged.) |
Ref | Expression |
---|---|
19.9hd.1 | |
19.9hd.2 |
Ref | Expression |
---|---|
19.9hd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.9hd.1 | . 2 | |
2 | 19.9hd.2 | . . 3 | |
3 | 2 | alimi 1384 | . 2 |
4 | 19.9ht 1572 | . 2 | |
5 | 1, 3, 4 | 3syl 17 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1282 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-5 1376 ax-gen 1378 ax-ie2 1423 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: sbiedh 1710 bj-sbimedh 10582 |
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