Theorem imim12i 57

Description: Inference joining two implications. (Contributed by NM, 12-Mar-1993.) (Proof shortened by Mel L. O'Cat, 29-Oct-2011.)

Hypotheses

Ref	Expression
imim12i.1
imim12i.2

Assertion

Ref	Expression
imim12i

Proof of Theorem imim12i

Step	Hyp	Ref	Expression
1		imim12i.1	. 2
2		imim12i.2	. . 3
3	2	imim2i 14	. 2
4	1, 3	syl5 32	1

Syntax hints:  ->wi 4

This theorem is referenced by:  imim1i  58  dedlem0b  953  meredith  1472  pssnn  7758  kmlem1  8551  brdom5  8928  brdom4  8929  axpowndlem2  8994  axpowndlem2OLD  8995  xrge0infss  27580  naim1  29850  naim2  29851  meran1  29876  axc11next  31313  bj-gl4  34184  rp-fakeanorass  37737  fiinfi  37758

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