Theorem ancli 323

Description: Deduction conjoining antecedent to left of consequent. (Contributed by NM, 12-Aug-1993.)

Hypothesis

Ref	Expression
ancli.1	|- ( ph -> ps )

Assertion

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

Proof of Theorem ancli

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ( ph -> ph )
2		ancli.1	. 2 |- ( ph -> ps )
3	1, 2	jca 306	1 |- ( ph -> ( ph /\ ps ) )

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:  pm4.45im  334  mo23  2083  barbari  2144  cesaro  2150  camestros  2151  calemos  2161  swopo  4338  elrnrexdm  5698  uchoice  6192  tfrcl  6419  ixpsnf1o  6792  fidcenumlemrk  7015  subhalfnqq  7476  enq0ref  7495  prarloc  7565  letrp1  8869  p1le  8870  peano2uz2  9427  uzind  9431  uzid  9609  qreccl  9710  fprodsplit1f  11780  lmodfopne  13825