Metamath Proof Explorer


Theorem mullidi

Description: Identity law for multiplication. (Contributed by NM, 14-Feb-1995)

Ref Expression
Hypothesis axi.1 ⊢ A ∈ ℂ
Assertion mullidi ⊢ 1 ⁢ A = A

Proof

Step Hyp Ref Expression
1 axi.1 ⊢ A ∈ ℂ
2 mullid ⊢ A ∈ ℂ → 1 ⁢ A = A
3 1 2 ax-mp ⊢ 1 ⁢ A = A