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Mirrors > Home > QLE Home > Th. List > qlhoml1a | GIF version |
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). |
Ref | Expression |
---|---|
qlhoml1a | a ≤ a⊥ ⊥ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-a1 30 | . 2 a = a⊥ ⊥ | |
2 | 1 | bile 142 | 1 a ≤ a⊥ ⊥ |
Colors of variables: term |
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) |
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