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Theorem tr 62
Description: Transitive inference rule for ortholattices.
Hypotheses
Ref Expression
tr.1 a = b
tr.2 b = c
Assertion
Ref Expression
tr a = c

Proof of Theorem tr
StepHypRef Expression
1 tr.1 . 2 a = b
2 tr.2 . 2 b = c
31, 2ax-r2 36 1 a = c
Colors of variables: term
Syntax hints:   = wb 1
This theorem is referenced by:  k1-7 354  k1-8a 355  k1-8b 356  k1-2 357  k1-3 358  k1-4 359  k1-5 360
This theorem was proved from axioms:  ax-r2 36
Copyright terms: Public domain