Theorem sltsub1d

Description: Subtraction from both sides of surreal less-than. (Contributed by Scott Fenton, 5-Feb-2025)

	Ref	Expression
Hypotheses	sltsubd.1	$$⊢\phi \to A\in \mathrm{No}$$
	sltsubd.2	$$⊢\phi \to B\in \mathrm{No}$$
	sltsubd.3	$$⊢\phi \to C\in \mathrm{No}$$
Assertion	sltsub1d	Could not format assertion : No typesetting found for |- ( ph -> ( A ( A -s C )

Proof

Step	Hyp	Ref	Expression
1		sltsubd.1	$$⊢\phi \to A\in \mathrm{No}$$
2		sltsubd.2	$$⊢\phi \to B\in \mathrm{No}$$
3		sltsubd.3	$$⊢\phi \to C\in \mathrm{No}$$
4		sltsub1	Could not format ( ( A e. No /\ B e. No /\ C e. No ) -> ( A ( A -s C ) ( A ( A -s C )
5	1 2 3 4	syl3anc	Could not format ( ph -> ( A ( A -s C ) ( A ( A -s C )