Metamath Proof Explorer


Definition df-pli

Description: Define addition on positive integers. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995) (New usage is discouraged.)

Ref Expression
Assertion df-pli +N = ( +o ↾ ( N × N ) )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cpli ⊢ +N
1 coa ⊢ +o
2 cnpi ⊢ N
3 2 2 cxp ⊢ ( N × N )
4 1 3 cres ⊢ ( +o ↾ ( N × N ) )
5 0 4 wceq ⊢ +N = ( +o ↾ ( N × N ) )