Definition df-0nq0 6409

Description: Define non-negative fraction constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by Jim Kingdon, 5-Nov-2019.)

Assertion

Ref	Expression
df-0nq0	⊢ 0Q0 = [⟨∅, 1𝑜⟩] ~Q0

Detailed syntax breakdown of Definition df-0nq0

Step	Hyp	Ref	Expression
1		c0q0 6272	. 2 class 0Q0
2		c0 3218	. . . 4 class ∅
3		c1o 5933	. . . 4 class 1𝑜
4	2, 3	cop 3370	. . 3 class ⟨∅, 1𝑜⟩
5		ceq0 6270	. . 3 class ~Q0
6	4, 5	cec 6040	. 2 class [⟨∅, 1𝑜⟩] ~Q0
7	1, 6	wceq 1242	1 wff 0Q0 = [⟨∅, 1𝑜⟩] ~Q0

This definition is referenced by:  nq0m0r  6439  nq0a0  6440  prarloclem5  6483