Metamath Proof Explorer


Theorem 8re

Description: The number 8 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 8re ⊢ 8 ∈ ℝ

Proof

Step Hyp Ref Expression
1 df-8 ⊢ 8 = 7 + 1
2 7re ⊢ 7 ∈ ℝ
3 1re ⊢ 1 ∈ ℝ
4 2 3 readdcli ⊢ 7 + 1 ∈ ℝ
5 1 4 eqeltri ⊢ 8 ∈ ℝ