Theorem pm3.43i 287

Description: Nested conjunction of antecedents.

Assertion

Ref	Expression
pm3.43i	|- ((ph -> ps) -> ((ph -> ch) -> (ph -> (ps /\ ch))))

Proof of Theorem pm3.43i

Step	Hyp	Ref	Expression
1		pm3.2 283	. 2 |- (ps -> (ch -> (ps /\ ch)))
2	1	imim3i 19	1 |- ((ph -> ps) -> ((ph -> ch) -> (ph -> (ps /\ ch))))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  jao 340  ordi 598  ltbtwnpq 5096

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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