Metamath Proof Explorer


Theorem negsval2d

Description: Surreal negation in terms of subtraction. (Contributed by Scott Fenton, 15-Apr-2025)

Ref Expression
Hypothesis negsval2d.1 φ A No
Assertion negsval2d Could not format assertion : No typesetting found for |- ( ph -> ( -us ` A ) = ( 0s -s A ) ) with typecode |-

Proof

Step Hyp Ref Expression
1 negsval2d.1 φ A No
2 negsval2 Could not format ( A e. No -> ( -us ` A ) = ( 0s -s A ) ) : No typesetting found for |- ( A e. No -> ( -us ` A ) = ( 0s -s A ) ) with typecode |-
3 1 2 syl Could not format ( ph -> ( -us ` A ) = ( 0s -s A ) ) : No typesetting found for |- ( ph -> ( -us ` A ) = ( 0s -s A ) ) with typecode |-