Theorem slt0neg2d

Description: Comparison of a surreal and its negative to zero. (Contributed by Scott Fenton, 10-Mar-2025)

	Ref	Expression
Hypothesis	slt0neg2d.1	$$⊢\phi \to A\in \mathrm{No}$$
Assertion	slt0neg2d	Could not format assertion : No typesetting found for |- ( ph -> ( 0s ( -us ` A )

Proof

Step	Hyp	Ref	Expression
1		slt0neg2d.1	$$⊢\phi \to A\in \mathrm{No}$$
2		0sno	Could not format 0s e. No : No typesetting found for |- 0s e. No with typecode |-
3		sltneg	Could not format ( ( 0s e. No /\ A e. No ) -> ( 0s ( -us ` A ) ( 0s ( -us ` A )
4	2 1 3	sylancr	Could not format ( ph -> ( 0s ( -us ` A ) ( 0s ( -us ` A )
5		negs0s	Could not format ( -us ` 0s ) = 0s : No typesetting found for |- ( -us ` 0s ) = 0s with typecode |-
6	5	breq2i	Could not format ( ( -us ` A ) ( -us ` A ) ( -us ` A )
7	4 6	bitrdi	Could not format ( ph -> ( 0s ( -us ` A ) ( 0s ( -us ` A )