Theorem bj-axc11nv 32745

Description: Version of axc11n 2307 with a dv condition; instance of aevlem 1981. (Contributed by BJ, 31-May-2019.) (Proof modification is discouraged.)

Assertion

Ref	Expression
bj-axc11nv	|- ( A. x x = y -> A. y y = x )

Distinct variable group:   x, y

Proof of Theorem bj-axc11nv

Step	Hyp	Ref	Expression
1		aevlem 1981	1 |- ( A. x x = y -> A. y y = x )

Syntax hints:   -> wi 4   A.wal 1481

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

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

This theorem is referenced by:  bj-aecomsv  32746