Theorem qlhoml1b 144

Description: An ortholattice inequality, corresponding to a theorem provable in Hilbert space. (Contributed by NM, 3-Feb-2002.)

Assertion

Ref	Expression
qlhoml1b	a⊥ ⊥ ≤ a

Proof of Theorem qlhoml1b

Step	Hyp	Ref	Expression
1		ax-a1 30	. . 3 a = a⊥ ⊥
2	1	ax-r1 35	. 2 a⊥ ⊥ = a
3	2	bile 142	1 a⊥ ⊥ ≤ a

Syntax hints:   ≤ wle 2  ^⊥ wn 4

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-t 41  df-f 42  df-le1 130

This theorem is referenced by: (None)