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Theorem naecoms-o 2178
Description: A commutation rule for distinct variable specifiers. Version of naecoms 1948 using ax-10o 2139. (Contributed by NM, 2-Jan-2002.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
nalequcoms-o.1
Assertion
Ref Expression
naecoms-o

Proof of Theorem naecoms-o
StepHypRef Expression
1 aecom-o 2151 . . 3
2 nalequcoms-o.1 . . 3
31, 2nsyl4 134 . 2
43con1i 121 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-10o 2139
This theorem depends on definitions:  df-bi 177  df-ex 1542
This theorem is referenced by:  ax11inda2ALT  2198
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