Metamath Proof Explorer


Theorem 7re

Description: The number 7 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 7re ⊢ 7 ∈ ℝ

Proof

Step Hyp Ref Expression
1 df-7 ⊢ 7 = 6 + 1
2 6re ⊢ 6 ∈ ℝ
3 1re ⊢ 1 ∈ ℝ
4 2 3 readdcli ⊢ 6 + 1 ∈ ℝ
5 1 4 eqeltri ⊢ 7 ∈ ℝ