Theorem subscld

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

	Ref	Expression
Hypotheses	subscld.1	$$⊢\phi \to A\in \mathrm{No}$$
	subscld.2	$$⊢\phi \to B\in \mathrm{No}$$
Assertion	subscld	Could not format assertion : No typesetting found for |- ( ph -> ( A -s B ) e. No ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		subscld.1	$$⊢\phi \to A\in \mathrm{No}$$
2		subscld.2	$$⊢\phi \to B\in \mathrm{No}$$
3		subscl	Could not format ( ( A e. No /\ B e. No ) -> ( A -s B ) e. No ) : No typesetting found for |- ( ( A e. No /\ B e. No ) -> ( A -s B ) e. No ) with typecode |-
4	1 2 3	syl2anc	Could not format ( ph -> ( A -s B ) e. No ) : No typesetting found for |- ( ph -> ( A -s B ) e. No ) with typecode |-