Theorem hbaev 1985

Description: Version of hbae 2315 with a DV condition, requiring fewer axioms. Instance of hbaevg 1984 and aev2 1986. (Contributed by Wolf Lammen, 22-Mar-2021.)

Assertion

Ref	Expression
hbaev	|- ( A. x x = y -> A. z A. x x = y )

Distinct variable group:   x, y

Proof of Theorem hbaev

Step	Hyp	Ref	Expression
1		hbaevg 1984	1 |- ( A. x x = y -> A. z A. x x = y )

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: (None)