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Theorem qlaxr1i 22227
Description: One of the conditions showing  CH is an ortholattice. (This corresponds to axiom "ax-r1" in the Quantum Logic Explorer.) (Contributed by NM, 4-Aug-2004.) (New usage is discouraged.)
Hypotheses
Ref Expression
qlaxr1.1  |-  A  e. 
CH
qlaxr1.2  |-  B  e. 
CH
qlaxr1.3  |-  A  =  B
Assertion
Ref Expression
qlaxr1i  |-  B  =  A

Proof of Theorem qlaxr1i
StepHypRef Expression
1 qlaxr1.3 . 2  |-  A  =  B
21eqcomi 2300 1  |-  B  =  A
Colors of variables: wff set class
Syntax hints:    = wceq 1632    e. wcel 1696   CHcch 21525
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-ext 2277
This theorem depends on definitions:  df-bi 177  df-cleq 2289
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