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

Definition df-pli 8497
Description: Define addition on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 8743, and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-pli  |-  +N  =  (  +o  |`  ( N.  X.  N. ) )

Detailed syntax breakdown of Definition df-pli
StepHypRef Expression
1 cpli 8467 . 2  class  +N
2 coa 6476 . . 3  class  +o
3 cnpi 8466 . . . 4  class  N.
43, 3cxp 4687 . . 3  class  ( N. 
X.  N. )
52, 4cres 4691 . 2  class  (  +o  |`  ( N.  X.  N. ) )
61, 5wceq 1623 1  wff  +N  =  (  +o  |`  ( N.  X.  N. ) )
Colors of variables: wff set class
This definition is referenced by:  addpiord  8508  dmaddpi  8514
  Copyright terms: Public domain W3C validator