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| Mirrors > Home > ILE Home > Th. List > dvelimfALT2 | Unicode version | ||
| Description: Proof of dvelimf 2042 using dveeq2 1837 (shown as the last hypothesis) instead of ax12 1534. This shows that ax12 1534 could be replaced by dveeq2 1837 (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 1548 |
. . 3
| |
| 2 | hbn1 1674 |
. . . 4
| |
| 3 | dvelimfALT2.4 |
. . . 4
| |
| 4 | dvelimfALT2.1 |
. . . . 5
| |
| 5 | 4 | a1i 9 |
. . . 4
|
| 6 | 2, 3, 5 | hbimd 1595 |
. . 3
|
| 7 | 1, 6 | hbald 1513 |
. 2
|
| 8 | dvelimfALT2.2 |
. . 3
| |
| 9 | dvelimfALT2.3 |
. . 3
| |
| 10 | 8, 9 | equsalh 1748 |
. 2
|
| 11 | 10 | albii 1492 |
. 2
|
| 12 | 7, 10, 11 | 3imtr3g 204 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 615 ax-in2 616 ax-5 1469 ax-7 1470 ax-gen 1471 ax-ie1 1515 ax-ie2 1516 ax-4 1532 ax-17 1548 ax-i9 1552 ax-ial 1556 ax-i5r 1557 |
| This theorem depends on definitions: df-bi 117 df-tru 1375 df-fal 1378 |
| This theorem is referenced by: (None) |
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