Theorem alrimdd 1880

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
alrimdd.1
alrimdd.2
alrimdd.3

Assertion

Ref	Expression
alrimdd

Proof of Theorem alrimdd

Step	Hyp	Ref	Expression
1		alrimdd.2	. . 3
2	1	nfrd 1875	. 2
3		alrimdd.1	. . 3
4		alrimdd.3	. . 3
5	3, 4	alimd 1876	. 2
6	2, 5	syld 44	1

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

This theorem is referenced by:  alrimd  1881

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