Theorem anc2li 329

Description: Deduction conjoining antecedent to left of consequent in nested implication. (Contributed by NM, 10-Aug-1994.) (Proof shortened by Wolf Lammen, 7-Dec-2012.)

Hypothesis

Ref	Expression
anc2li.1	|- ( ph -> ( ps -> ch ) )

Assertion

Ref	Expression
anc2li	|- ( ph -> ( ps -> ( ph /\ ch ) ) )

Proof of Theorem anc2li

Step	Hyp	Ref	Expression
1		anc2li.1	. 2 |- ( ph -> ( ps -> ch ) )
2		id 19	. 2 |- ( ph -> ph )
3	1, 2	jctild 316	1 |- ( ph -> ( ps -> ( ph /\ ch ) ) )

Syntax hints:   -> wi 4   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 108

This theorem is referenced by:  imdistani  445  equvini  1772  sssnm  3785  tfis  4620  indpi  7426