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Mirrors > Home > ILE Home > Th. List > 19.21ht | Unicode version |
Description: Closed form of Theorem 19.21 of [Margaris] p. 90. (Contributed by NM, 27-May-1997.) (New usage is discouraged.) |
Ref | Expression |
---|---|
19.21ht |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alim 1386 | . . . . 5 | |
2 | 1 | imim2d 53 | . . . 4 |
3 | 2 | com12 30 | . . 3 |
4 | 3 | sps 1470 | . 2 |
5 | hba1 1473 | . . . 4 | |
6 | ax-4 1440 | . . . 4 | |
7 | hba1 1473 | . . . . 5 | |
8 | 7 | a1i 9 | . . . 4 |
9 | 5, 6, 8 | hbimd 1505 | . . 3 |
10 | ax-4 1440 | . . . . 5 | |
11 | 10 | imim2i 12 | . . . 4 |
12 | 11 | alimi 1384 | . . 3 |
13 | 9, 12 | syl6 33 | . 2 |
14 | 4, 13 | impbid 127 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wal 1282 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-4 1440 ax-ial 1467 ax-i5r 1468 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: 19.21t 1514 sbal2 1939 |
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