Metamath Proof Explorer


Theorem subsfn

Description: Surreal subtraction is a function over pairs of surreals. (Contributed by Scott Fenton, 22-Jan-2025)

Ref Expression
Assertion subsfn Could not format assertion : No typesetting found for |- -s Fn ( No X. No ) with typecode |-

Proof

Step Hyp Ref Expression
1 df-subs Could not format -s = ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) : No typesetting found for |- -s = ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) with typecode |-
2 ovex Could not format ( x +s ( -us ` y ) ) e. _V : No typesetting found for |- ( x +s ( -us ` y ) ) e. _V with typecode |-
3 1 2 fnmpoi Could not format -s Fn ( No X. No ) : No typesetting found for |- -s Fn ( No X. No ) with typecode |-