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Mirrors > Home > ILE Home > Th. List > dvelimfALT2 | Unicode version |
Description: Proof of dvelimf 1990 using dveeq2 1787 (shown as the last hypothesis) instead of ax-12 1489. This shows that ax-12 1489 could be replaced by dveeq2 1787 (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 1506 | . . 3 | |
2 | hbn1 1630 | . . . 4 | |
3 | dvelimfALT2.4 | . . . 4 | |
4 | dvelimfALT2.1 | . . . . 5 | |
5 | 4 | a1i 9 | . . . 4 |
6 | 2, 3, 5 | hbimd 1552 | . . 3 |
7 | 1, 6 | hbald 1467 | . 2 |
8 | dvelimfALT2.2 | . . 3 | |
9 | dvelimfALT2.3 | . . 3 | |
10 | 8, 9 | equsalh 1704 | . 2 |
11 | 10 | albii 1446 | . 2 |
12 | 7, 10, 11 | 3imtr3g 203 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 wal 1329 wceq 1331 |
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 603 ax-in2 604 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-fal 1337 |
This theorem is referenced by: (None) |
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