Metamath Proof Explorer


Theorem subscld

Description: Closure law for surreal subtraction. (Contributed by Scott Fenton, 5-Feb-2025)

Ref Expression
Hypotheses subscld.1 φ A No
subscld.2 φ B No
Assertion subscld φ A - s B No

Proof

Step Hyp Ref Expression
1 subscld.1 φ A No
2 subscld.2 φ B No
3 subscl A No B No A - s B No
4 1 2 3 syl2anc φ A - s B No