Theorem axc16 2034

Description: Proof of older axiom ax-c16 32508. (Contributed by NM, 8-Nov-2006.) (Revised by NM, 22-Sep-2017.)

Assertion

Ref	Expression
axc16	|- ( A. x x = y -> ( ph -> A. x ph ) )

Distinct variable group:   x, y

Allowed substitution hints:   ph( x, y)

Proof of Theorem axc16

Step	Hyp	Ref	Expression
1		axc16g 2033	1 |- ( A. x x = y -> ( ph -> A. x ph ) )

Syntax hints:   -> wi 4   A.wal 1452

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1679  ax-4 1692  ax-5 1768  ax-6 1815  ax-7 1861  ax-12 1943

This theorem depends on definitions:  df-bi 190  df-an 377  df-ex 1674

This theorem is referenced by:  axc16nf  2037  ax12vALT  2267  hbs1  2275  exists2  2401  bj-ax6elem1  31308