| Quantum Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > QLE Home > Th. List > ax-wom | GIF version | ||
| Description: 2-variable WOML rule. (Contributed by NM, 13-Nov-1998.) |
| Ref | Expression |
|---|---|
| ax-wom.1 | (a⊥ ∪ (a ∩ b)) = 1 |
| Ref | Expression |
|---|---|
| ax-wom | (b ∪ (a⊥ ∩ b⊥ )) = 1 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wvb | . . 3 term b | |
| 2 | wva | . . . . 5 term a | |
| 3 | 2 | wn 4 | . . . 4 term a⊥ |
| 4 | 1 | wn 4 | . . . 4 term b⊥ |
| 5 | 3, 4 | wa 7 | . . 3 term (a⊥ ∩ b⊥ ) |
| 6 | 1, 5 | wo 6 | . 2 term (b ∪ (a⊥ ∩ b⊥ )) |
| 7 | wt 8 | . 2 term 1 | |
| 8 | 6, 7 | wb 1 | 1 wff (b ∪ (a⊥ ∩ b⊥ )) = 1 |
| Colors of variables: term |
| This axiom is referenced by: 2vwomr2 362 2vwomr1a 363 2vwomlem 365 |
| Copyright terms: Public domain | W3C validator |