Theorem qlaxr1i 28491

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

Step	Hyp	Ref	Expression
1		qlaxr1.3	. 2 |- A = B
2	1	eqcomi 2631	1 |- B = A

Syntax hints:   = wceq 1483   e. wcel 1990   CHcch 27786

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-9 1999  ax-ext 2602

This theorem depends on definitions:  df-bi 197  df-an 386  df-ex 1705  df-cleq 2615

This theorem is referenced by: (None)