Theorem bj-alalbial 32692

Description: Adding a second quantifier is a tranparent operation, ( A. A. case). (Contributed by BJ, 20-Oct-2019.)

Assertion

Ref	Expression
bj-alalbial	|- ( A. x A. x ph <-> A. x ph )

Proof of Theorem bj-alalbial

Step	Hyp	Ref	Expression
1		nfa1 2028	. 2 |- F/ x A. x ph
2	1	19.3 2069	1 |- ( A. x A. x ph <-> A. x ph )

Syntax hints:   <-> wb 196   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  ax-10 2019  ax-12 2047

This theorem depends on definitions:  df-bi 197  df-or 385  df-ex 1705  df-nf 1710

This theorem is referenced by: (None)