Metamath Proof Explorer


Theorem mulsridd

Description: Surreal one is a right identity element for multiplication. (Contributed by Scott Fenton, 14-Mar-2025)

Ref Expression
Hypothesis mulsridd.1 ⊢ φ → A ∈ No
Assertion mulsridd ⊢ φ → A ⋅ s 1 s = A

Proof

Step Hyp Ref Expression
1 mulsridd.1 ⊢ φ → A ∈ No
2 mulsrid ⊢ A ∈ No → A ⋅ s 1 s = A
3 1 2 syl ⊢ φ → A ⋅ s 1 s = A