Theorem alimd 1876

Description: Deduction form of Theorem 19.20 of [Margaris] p. 90, see alim 1632. (Contributed by Mario Carneiro, 24-Sep-2016.)

Hypotheses

Ref	Expression
alimd.1
alimd.2

Assertion

Ref	Expression
alimd

Proof of Theorem alimd

Step	Hyp	Ref	Expression
1		alimd.1	. . 3
2	1	nfri 1874	. 2
3		alimd.2	. 2
4	2, 3	alimdh 1638	1

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

This theorem is referenced by:  alrimdd  1880  mo3  2323  mo3OLD  2324  2mo  2373  2moOLD  2374  ralimdaaOLD  2860  axpowndlem3  8996  axpowndlem3OLD  8997  axext4dist  29233  pm11.71  31303

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