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Mirrors > Home > ILE Home > Th. List > hbimd | Unicode version |
Description: Deduction form of bound-variable hypothesis builder hbim 1437. (Contributed by NM, 1-Jan-2002.) (Revised by NM, 2-Feb-2015.) |
Ref | Expression |
---|---|
hbimd.1 | |
hbimd.2 | |
hbimd.3 |
Ref | Expression |
---|---|
hbimd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbimd.3 | . . . 4 | |
2 | 1 | imim2d 48 | . . 3 |
3 | ax-4 1400 | . . . . 5 | |
4 | 3 | imim1i 54 | . . . 4 |
5 | ax-i5r 1428 | . . . 4 | |
6 | 4, 5 | syl 14 | . . 3 |
7 | 2, 6 | syl6 29 | . 2 |
8 | hbimd.1 | . . 3 | |
9 | hbimd.2 | . . . 4 | |
10 | 9 | imim1d 69 | . . 3 |
11 | 8, 10 | alimdh 1356 | . 2 |
12 | 7, 11 | syld 40 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1241 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-5 1336 ax-gen 1338 ax-4 1400 ax-i5r 1428 |
This theorem is referenced by: hbbid 1467 19.21ht 1473 equveli 1642 dvelimfALT2 1698 |
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