Theorem anc2r 301

Description: Conjoin antecedent to right of consequent in nested implication.

Assertion

Ref	Expression
anc2r	|- ((ph -> (ps -> ch)) -> (ph -> (ps -> (ch /\ ph))))

Proof of Theorem anc2r

Step	Hyp	Ref	Expression
1		pm3.21 284	. . 3 |- (ph -> (ch -> (ch /\ ph)))
2	1	imim2d 25	. 2 |- (ph -> ((ps -> ch) -> (ps -> (ch /\ ph))))
3	2	a2i 9	1 |- ((ph -> (ps -> ch)) -> (ph -> (ps -> (ch /\ ph))))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  anc2ri 303  ssorduni 2999

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225

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