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Theorem alrimdh 1672
Description: Deduction form of Theorem 19.21 of [Margaris] p. 90, see 19.21 1905 and 19.21h 1907. (Contributed by NM, 10-Feb-1997.) (Proof shortened by Andrew Salmon, 13-May-2011.)
Hypotheses
Ref Expression
alrimdh.1
alrimdh.2
alrimdh.3
Assertion
Ref Expression
alrimdh

Proof of Theorem alrimdh
StepHypRef Expression
1 alrimdh.2 . 2
2 alrimdh.1 . . 3
3 alrimdh.3 . . 3
42, 3alimdh 1638 . 2
51, 4syl5 32 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  A.wal 1393
This theorem is referenced by:  alrimdv  1721  ax12indn  2273  gen21nv  33406
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1618  ax-4 1631
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