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Theorem nfimdOLD 1809
 Description: Obsolete proof of nfimd 1808 as of 29-Dec-2017. (Contributed by Mario Carneiro, 24-Sep-2016.) (New usage is discouraged.)
Hypotheses
Ref Expression
nfimd.1
nfimd.2
Assertion
Ref Expression
nfimdOLD

Proof of Theorem nfimdOLD
StepHypRef Expression
1 nfimd.1 . 2
2 nfimd.2 . 2
3 nfa1 1788 . . . . 5
4 hbnt 1775 . . . . . 6
5 pm2.21 100 . . . . . . . . . . 11
65alimi 1559 . . . . . . . . . 10
76imim2i 13 . . . . . . . . 9
87adantr 451 . . . . . . . 8
9 ax-1 5 . . . . . . . . . . 11
109alimi 1559 . . . . . . . . . 10
1110imim2i 13 . . . . . . . . 9
1211adantl 452 . . . . . . . 8
138, 12jad 154 . . . . . . 7
1413ex 423 . . . . . 6
154, 14syl 15 . . . . 5
163, 15alimd 1764 . . . 4
1716imp 418 . . 3
18 df-nf 1545 . . . 4
19 df-nf 1545 . . . 4
2018, 19anbi12i 678 . . 3
21 df-nf 1545 . . 3
2217, 20, 213imtr4i 257 . 2
231, 2, 22syl2anc 642 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wa 358  wal 1540  wnf 1544 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746 This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545 This theorem is referenced by: (None)
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