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 1s ) = 𝐴 )

Proof

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