Theorem ancr 243

Description: Conjoin antecedent to right of consequent.

Assertion

Ref	Expression
ancr	|- ((ph -> ps) -> (ph -> (ps /\ ph)))

Proof of Theorem ancr

Step	Hyp	Ref	Expression
1		pm3.21 233	. 2 |- (ph -> (ps -> (ps /\ ph)))
2	1	a2i 8	1 |- ((ph -> ps) -> (ph -> (ps /\ ph)))

Syntax hints:   -> wi 2   /\ wa 196

This theorem is referenced by:  ancrd 247  ancrb 265  nnmord 3189  chsscm 5147

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

This theorem depends on definitions:  df-bi 128  df-an 198

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