Theorem nesymir 2732

Description: Inference associated with nesym 2729. (Contributed by BJ, 7-Jul-2018.) (Proof shortened by Wolf Lammen, 25-Nov-2019.)

Hypothesis

Ref	Expression
nesymir.1

Assertion

Ref	Expression
nesymir

Proof of Theorem nesymir

Step	Hyp	Ref	Expression
1		nesymir.1	. . 3
2	1	neir 2657	. 2
3	2	necomi 2727	1

Syntax hints:  -.wn 3  =wceq 1395  =/=wne 2652

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-cleq 2449  df-ne 2654