Theorem scutcld

Description: Closure law for surreal cuts. (Contributed by Scott Fenton, 23-Aug-2024)

	Ref	Expression
Hypothesis	scutcld.1	|- ( ph -> A <
Assertion	scutcld	|- ( ph -> ( A |s B ) e. No )

Proof

Step	Hyp	Ref	Expression
1		scutcld.1	|- ( ph -> A <
2		scutcl	|- ( A < ( A |s B ) e. No )
3	1 2	syl	|- ( ph -> ( A |s B ) e. No )