Theorem sltsubadd2d

Description: Surreal less-than relationship between subtraction and addition. (Contributed by Scott Fenton, 27-Feb-2025)

	Ref	Expression
Hypotheses	sltsubadd.1	$$⊢\phi \to A\in \mathrm{No}$$
	sltsubadd.2	$$⊢\phi \to B\in \mathrm{No}$$
	sltsubadd.3	$$⊢\phi \to C\in \mathrm{No}$$
Assertion	sltsubadd2d	Could not format assertion : No typesetting found for |- ( ph -> ( ( A -s B ) A

Proof

Step	Hyp	Ref	Expression
1		sltsubadd.1	$$⊢\phi \to A\in \mathrm{No}$$
2		sltsubadd.2	$$⊢\phi \to B\in \mathrm{No}$$
3		sltsubadd.3	$$⊢\phi \to C\in \mathrm{No}$$
4	1 2 3	sltsubaddd	Could not format ( ph -> ( ( A -s B ) A ( ( A -s B ) A
5	2 3	addscomd	Could not format ( ph -> ( B +s C ) = ( C +s B ) ) : No typesetting found for |- ( ph -> ( B +s C ) = ( C +s B ) ) with typecode |-
6	5	breq2d	Could not format ( ph -> ( A A ( A A
7	4 6	bitr4d	Could not format ( ph -> ( ( A -s B ) A ( ( A -s B ) A