Theorem alrimd 1881

Description: Deduction form of Theorem 19.21 of [Margaris] p. 90, see 19.21 1905. (Contributed by Mario Carneiro, 24-Sep-2016.)

Hypotheses

Ref	Expression
alrimd.1
alrimd.2
alrimd.3

Assertion

Ref	Expression
alrimd

Proof of Theorem alrimd

Step	Hyp	Ref	Expression
1		alrimd.1	. 2
2		alrimd.2	. . 3
3	2	a1i 11	. 2
4		alrimd.3	. 2
5	1, 3, 4	alrimdd 1880	1

Syntax hints:  ->wi 4  A.wal 1393  F/wnf 1616

This theorem is referenced by:  nfimd  1917  moexex  2363  ralrimd  2861  pssnn  7758  fiint  7817  wl-mo3t  30021  pm14.24  31339

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854

This theorem depends on definitions:  df-bi 185  df-ex 1613  df-nf 1617