Theorem peano2no

Description: A theorem for surreals that is analagous to the second Peano postulate peano2 . (Contributed by Scott Fenton, 17-Mar-2025)

	Ref	Expression
Assertion	peano2no	Could not format assertion : No typesetting found for |- ( A e. No -> ( A +s 1s ) e. No ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		1sno	Could not format 1s e. No : No typesetting found for |- 1s e. No with typecode |-
2		addscl	Could not format ( ( A e. No /\ 1s e. No ) -> ( A +s 1s ) e. No ) : No typesetting found for |- ( ( A e. No /\ 1s e. No ) -> ( A +s 1s ) e. No ) with typecode |-
3	1 2	mpan2	Could not format ( A e. No -> ( A +s 1s ) e. No ) : No typesetting found for |- ( A e. No -> ( A +s 1s ) e. No ) with typecode |-