ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-pli GIF version

Definition df-pli 7081
Description: Define addition on positive integers. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.)
Assertion
Ref Expression
df-pli +N = ( +o ↾ (N × N))

Detailed syntax breakdown of Definition df-pli
StepHypRef Expression
1 cpli 7049 . 2 class +N
2 coa 6278 . . 3 class +o
3 cnpi 7048 . . . 4 class N
43, 3cxp 4507 . . 3 class (N × N)
52, 4cres 4511 . 2 class ( +o ↾ (N × N))
61, 5wceq 1316 1 wff +N = ( +o ↾ (N × N))
Colors of variables: wff set class
This definition is referenced by:  addpiord  7092  dmaddpi  7101
  Copyright terms: Public domain W3C validator