Theorem 2sp 2094

Description: A double specialization (see sp 2091). Another double specialization, closer to PM*11.1, is 2stdpc4 2382. (Contributed by BJ, 15-Sep-2018.)

Assertion

Ref	Expression
2sp	⊢ (∀𝑥∀𝑦𝜑 → 𝜑)

Proof of Theorem 2sp

Step	Hyp	Ref	Expression
1		sp 2091	. 2 ⊢ (∀𝑦𝜑 → 𝜑)
2	1	sps 2093	1 ⊢ (∀𝑥∀𝑦𝜑 → 𝜑)

Syntax hints:   → wi 4  ∀wal 1521

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1762  ax-4 1777  ax-5 1879  ax-6 1945  ax-7 1981  ax-12 2087

This theorem depends on definitions:  df-bi 197  df-ex 1745

This theorem is referenced by:  cbv1h  2304  csbie2t  3595  copsex2t  4986  wfrlem5  7464  fundmpss  31790  frrlem5  31909  bj-cbv1hv  32855  ax11-pm  32944  mbfresfi  33586  cotrintab  38238  pm14.123b  38944