MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-lti Unicode version

Definition df-lti 8515
Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 8759, and is intended to be used only by the construction. (Contributed by NM, 6-Feb-1996.) (New usage is discouraged.)
Assertion
Ref Expression
df-lti  |-  <N  =  (  _E  i^i  ( N.  X.  N. ) )

Detailed syntax breakdown of Definition df-lti
StepHypRef Expression
1 clti 8485 . 2  class  <N
2 cep 4319 . . 3  class  _E
3 cnpi 8482 . . . 4  class  N.
43, 3cxp 4703 . . 3  class  ( N. 
X.  N. )
52, 4cin 3164 . 2  class  (  _E 
i^i  ( N.  X.  N. ) )
61, 5wceq 1632 1  wff  <N  =  (  _E  i^i  ( N.  X.  N. ) )
Colors of variables: wff set class
This definition is referenced by:  ltpiord  8527  ltsopi  8528  ltrelpi  8529
  Copyright terms: Public domain W3C validator