Theorem divscan2d

Description: A cancellation law for surreal division. (Contributed by Scott Fenton, 16-Mar-2025)

	Ref	Expression
Hypotheses	divscan2d.1	$$⊢\phi \to A\in \mathrm{No}$$
	divscan2d.2	$$⊢\phi \to B\in \mathrm{No}$$
	divscan2d.3	No typesetting found for |- ( ph -> B =/= 0s ) with typecode |-
Assertion	divscan2d	Could not format assertion : No typesetting found for |- ( ph -> ( B x.s ( A /su B ) ) = A ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		divscan2d.1	$$⊢\phi \to A\in \mathrm{No}$$
2		divscan2d.2	$$⊢\phi \to B\in \mathrm{No}$$
3		divscan2d.3	Could not format ( ph -> B =/= 0s ) : No typesetting found for |- ( ph -> B =/= 0s ) with typecode |-
4	2 3	recsexd	Could not format ( ph -> E. x e. No ( B x.s x ) = 1s ) : No typesetting found for |- ( ph -> E. x e. No ( B x.s x ) = 1s ) with typecode |-
5	1 2 3 4	divscan2wd	Could not format ( ph -> ( B x.s ( A /su B ) ) = A ) : No typesetting found for |- ( ph -> ( B x.s ( A /su B ) ) = A ) with typecode |-