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| Mirrors > Home > QLE Home > Th. List > df-a3 | GIF version | ||
| Description: Defined conjunction. (Contributed by NM, 2-Nov-1997.) |
| Ref | Expression |
|---|---|
| df-a3 | (a ∩3 b) = (a⊥ ∪3 b⊥ )⊥ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wva | . . 3 term a | |
| 2 | wvb | . . 3 term b | |
| 3 | 1, 2 | wan3 26 | . 2 term (a ∩3 b) |
| 4 | 1 | wn 4 | . . . 4 term a⊥ |
| 5 | 2 | wn 4 | . . . 4 term b⊥ |
| 6 | 4, 5 | wo3 25 | . . 3 term (a⊥ ∪3 b⊥ ) |
| 7 | 6 | wn 4 | . 2 term (a⊥ ∪3 b⊥ )⊥ |
| 8 | 3, 7 | wb 1 | 1 wff (a ∩3 b) = (a⊥ ∪3 b⊥ )⊥ |
| Colors of variables: term |
| This definition is referenced by: (None) |
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