Description: A Hilbert lattice has the exchange property. (Contributed by NM, 16-Nov-2011)
Ref | Expression | ||
---|---|---|---|
Hypotheses | hlsuprexch.b | ||
hlsuprexch.l | |||
hlsuprexch.j | |||
hlsuprexch.a | |||
Assertion | hlexchb1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hlsuprexch.b | ||
2 | hlsuprexch.l | ||
3 | hlsuprexch.j | ||
4 | hlsuprexch.a | ||
5 | hlcvl | ||
6 | 1 2 3 4 | cvlexchb1 | |
7 | 5 6 | syl3an1 |