Metamath Proof Explorer


Theorem addsid1d

Description: Surreal addition to zero is identity. Part of Theorem 3 of Conway p. 17. (Contributed by Scott Fenton, 20-Aug-2024)

Ref Expression
Hypothesis addsid1d.1 φ A No
Assertion addsid1d Could not format assertion : No typesetting found for |- ( ph -> ( A +s 0s ) = A ) with typecode |-

Proof

Step Hyp Ref Expression
1 addsid1d.1 φ A No
2 addsid1 Could not format ( A e. No -> ( A +s 0s ) = A ) : No typesetting found for |- ( A e. No -> ( A +s 0s ) = A ) with typecode |-
3 1 2 syl Could not format ( ph -> ( A +s 0s ) = A ) : No typesetting found for |- ( ph -> ( A +s 0s ) = A ) with typecode |-