Theorem alrimih 1642

Description: Inference form of Theorem 19.21 of [Margaris] p. 90. See 19.21 1905 and 19.21h 1907. (Contributed by NM, 9-Jan-1993.)

Hypotheses

Ref	Expression
alrimih.1
alrimih.2

Assertion

Ref	Expression
alrimih

Proof of Theorem alrimih

Step	Hyp	Ref	Expression
1		alrimih.1	. 2
2		alrimih.2	. . 3
3	2	alimi 1633	. 2
4	1, 3	syl 16	1

Syntax hints:  ->wi 4  A.wal 1393

This theorem is referenced by:  nexdh  1674  albidh  1675  exbidh  1676  alrimiv  1719  ax12i  1738  cbvaliw  1788  alrimi  1877  hbnd  1974  aevALT  2063  axc4i-o  2229  equidq  2254  aev-o  2261  ax12f  2270  eujustALT  2285  axi5r  2427  hbralrimi  2853  mpt2bi123f  30571  ceqsex3OLD  30601  axc5c4c711  31308  hbimpg  33327  gen11nv  33403  bnj1093  34036  bj-ax12i  34226  bj-abtru  34473  bj-abfal  34474

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1618  ax-4 1631