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Theorem r19.28av 2965
Description: Restricted version of one direction of Theorem 19.28 of [Margaris] p. 90. (The other direction doesn't hold when is empty.) (Contributed by NM, 2-Apr-2004.)
Assertion
Ref Expression
r19.28av
Distinct variable group:   ,

Proof of Theorem r19.28av
StepHypRef Expression
1 r19.27av 2964 . 2
2 ancom 450 . 2
3 ancom 450 . . 3
43ralbii 2840 . 2
51, 2, 43imtr4i 266 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369  A.wral 2800
This theorem is referenced by:  rr19.28v  3212  fununi  5603  txlm  19620
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671
This theorem depends on definitions:  df-bi 185  df-an 371  df-ral 2805
  Copyright terms: Public domain W3C validator