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Mirrors > Home > ILE Home > Th. List > dvelimfALT2 | Unicode version |
Description: Proof of dvelimf 2002 using dveeq2 1802 (shown as the last hypothesis) instead of ax12 1499. This shows that ax12 1499 could be replaced by dveeq2 1802 (the last hypothesis). (Contributed by Andrew Salmon, 21-Jul-2011.) |
Ref | Expression |
---|---|
dvelimfALT2.1 | |
dvelimfALT2.2 | |
dvelimfALT2.3 | |
dvelimfALT2.4 |
Ref | Expression |
---|---|
dvelimfALT2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-17 1513 | . . 3 | |
2 | hbn1 1639 | . . . 4 | |
3 | dvelimfALT2.4 | . . . 4 | |
4 | dvelimfALT2.1 | . . . . 5 | |
5 | 4 | a1i 9 | . . . 4 |
6 | 2, 3, 5 | hbimd 1560 | . . 3 |
7 | 1, 6 | hbald 1478 | . 2 |
8 | dvelimfALT2.2 | . . 3 | |
9 | dvelimfALT2.3 | . . 3 | |
10 | 8, 9 | equsalh 1713 | . 2 |
11 | 10 | albii 1457 | . 2 |
12 | 7, 10, 11 | 3imtr3g 203 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 wal 1340 wceq 1342 |
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-in1 604 ax-in2 605 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-fal 1348 |
This theorem is referenced by: (None) |
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