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Mirrors > Home > QLE Home > Th. List > ax-a4 | GIF version |
Description: Axiom for ortholattices. (Contributed by NM, 9-Aug-1997.) |
Ref | Expression |
---|---|
ax-a4 | (a ∪ (b ∪ b⊥ )) = (b ∪ b⊥ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wva | . . 3 term a | |
2 | wvb | . . . 4 term b | |
3 | 2 | wn 4 | . . . 4 term b⊥ |
4 | 2, 3 | wo 6 | . . 3 term (b ∪ b⊥ ) |
5 | 1, 4 | wo 6 | . 2 term (a ∪ (b ∪ b⊥ )) |
6 | 5, 4 | wb 1 | 1 wff (a ∪ (b ∪ b⊥ )) = (b ∪ b⊥ ) |
Colors of variables: term |
This axiom is referenced by: tt 60 or1 104 wa4 194 lem4.6.6i1j3 1094 com3iia 1102 |
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