Theorem subsvald

Description: The value of surreal subtraction. (Contributed by Scott Fenton, 5-Feb-2025)

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

Proof

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