Theorem 2sp 2056

Description: A double specialization (see sp 2053). Another double specialization, closer to PM*11.1, is 2stdpc4 2354. (Contributed by BJ, 15-Sep-2018.)

Assertion

Ref	Expression
2sp	⊢ (∀𝑥∀𝑦𝜑 → 𝜑)

Proof of Theorem 2sp

Step	Hyp	Ref	Expression
1		sp 2053	. 2 ⊢ (∀𝑦𝜑 → 𝜑)
2	1	sps 2055	1 ⊢ (∀𝑥∀𝑦𝜑 → 𝜑)

Syntax hints:   → wi 4  ∀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-12 2047

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

This theorem is referenced by:  cbv1h  2268  csbie2t  3562  copsex2t  4957  wfrlem5  7419  fundmpss  31664  frrlem5  31784  bj-cbv1hv  32730  ax11-pm  32819  mbfresfi  33456  cotrintab  37921  pm14.123b  38627