Theorem 2alim 38576

Description: Theorem *11.32 in [WhiteheadRussell] p. 162. Theorem 19.20 of [Margaris] p. 90 with 2 quantifiers. (Contributed by Andrew Salmon, 24-May-2011.)

Assertion

Ref	Expression
2alim	|- ( A. x A. y ( ph -> ps ) -> ( A. x A. y ph -> A. x A. y ps ) )

Proof of Theorem 2alim

Step	Hyp	Ref	Expression
1		id 22	. 2 |- ( ( ph -> ps ) -> ( ph -> ps ) )
2	1	2al2imi 38572	1 |- ( A. x A. y ( ph -> ps ) -> ( A. x A. y ph -> A. x A. y ps ) )

Syntax hints:   -> wi 4   A.wal 1481

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1722  ax-4 1737

This theorem is referenced by: (None)