Theorem qlhoml1a 143

Description: An ortholattice inequality, corresponding to a theorem provable in Hilbert space. Part of Definition 2.1 p. 2092, in M. Pavicic and N. Megill, "Quantum and Classical Implicational Algebras with Primitive Implication," _Int. J. of Theor. Phys._ 37, 2091-2098 (1998).

Assertion

Ref	Expression
qlhoml1a	a ≤ a⊥ ⊥

Proof of Theorem qlhoml1a

Step	Hyp	Ref	Expression
1		ax-a1 30	. 2 a = a⊥ ⊥
2	1	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)