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  2079  barbari  2140  cesaro  2146  camestros  2147  calemos  2157  swopo  4321  elrnrexdm  5672  tfrcl  6384  ixpsnf1o  6757  fidcenumlemrk  6978  subhalfnqq  7438  enq0ref  7457  prarloc  7527  letrp1  8830  p1le  8831  peano2uz2  9385  uzind  9389  uzid  9567  qreccl  9667  fprodsplit1f  11669  lmodfopne  13635