New Foundations Explorer		< Previous   Next > Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  pm2.18d		Unicode version

---

Theorem pm2.18d 103

Description: Deduction based on reductio ad absurdum. (Contributed by FL, 12-Jul-2009.) (Proof shortened by Andrew Salmon, 7-May-2011.)

Hypothesis

Ref	Expression
pm2.18d.1

Assertion

Ref	Expression
pm2.18d

---

Proof of Theorem pm2.18d

Step	Hyp	Ref	Expression
1		pm2.18d.1	. 2
2		pm2.18 102	. 2
3	1, 2	syl 15	1

Colors of variables: wff setvar class

Syntax hints:   wn 3   wi 4

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8

This theorem is referenced by:  notnot2  104  pm2.61d  150  pm2.18da  430  oplem1  930  ax10lem4  1941  phi11lem1  4595  0cnelphi  4597

Copyright terms: Public domain

W3C validator