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 ) ) )

This proof depends on syntax axioms:   -> wi 4   /\ wa 104

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 108

This theorem is used by:  imdistani  449  equvini  1811  sssnm  3879  tfis  4730  indpi  7709  ballotfilemfc0  13232  ballotfilemfcc  13233