Metamath Proof Explorer


Theorem 4div2e2

Description: One half of four is two. (Contributed by NM, 3-Sep-1999)

Ref Expression
Assertion 4div2e2 ⊢ 4 2 = 2

Proof

Step Hyp Ref Expression
1 2t2e4 ⊢ 2 ⋅ 2 = 4
2 4cn ⊢ 4 ∈ ℂ
3 2cn ⊢ 2 ∈ ℂ
4 2ne0 ⊢ 2 ≠ 0
5 2 3 3 4 divmuli ⊢ 4 2 = 2 ↔ 2 ⋅ 2 = 4
6 1 5 mpbir ⊢ 4 2 = 2