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| Mirrors > Home > MPE Home > Th. List > luk-2 | Structured version Visualization version Unicode version | ||
| Description: 2 of 3 axioms for propositional calculus due to Lukasiewicz, derived from Meredith's sole axiom. (Contributed by NM, 14-Dec-2002.) (Proof modification is discouraged.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| luk-2 |
   
  |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | merlem5 1571 |
. . . . 5
| |
| 2 | merlem4 1570 |
. . . . 5
| |
| 3 | 1, 2 | ax-mp 5 |
. . . 4
|
| 4 | merlem11 1577 |
. . . 4
| |
| 5 | 3, 4 | ax-mp 5 |
. . 3
|
| 6 | meredith 1566 |
. . 3
| |
| 7 | 5, 6 | ax-mp 5 |
. 2
|
| 8 | merlem11 1577 |
. 2
| |
| 9 | 7, 8 | ax-mp 5 |
1
|
| Colors of variables: wff setvar class |
| Syntax hints: wn 3
wi 4 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
| This theorem is referenced by: luklem4 1586 |
| Copyright terms: Public domain | W3C validator |