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Mirrors > Home > QLE Home > Th. List > df-o3 | GIF version |
Description: Defined disjunction. (Contributed by NM, 2-Nov-1997.) |
Ref | Expression |
---|---|
df-o3 | (a ∪3 b) = (a⊥ →3 (a⊥ →3 b)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wva | . . 3 term a | |
2 | wvb | . . 3 term b | |
3 | 1, 2 | wo3 25 | . 2 term (a ∪3 b) |
4 | 1 | wn 4 | . . 3 term a⊥ |
5 | 4, 2 | wi3 14 | . . 3 term (a⊥ →3 b) |
6 | 4, 5 | wi3 14 | . 2 term (a⊥ →3 (a⊥ →3 b)) |
7 | 3, 6 | wb 1 | 1 wff (a ∪3 b) = (a⊥ →3 (a⊥ →3 b)) |
Colors of variables: term |
This definition is referenced by: (None) |
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