Theorem recsexd

Description: A non-zero surreal has a reciprocal. (Contributed by Scott Fenton, 16-Mar-2025)

	Ref	Expression
Hypotheses	recsexd.1	$$⊢\phi \to A\in \mathrm{No}$$
	recsexd.2	No typesetting found for |- ( ph -> A =/= 0s ) with typecode |-
Assertion	recsexd	Could not format assertion : No typesetting found for |- ( ph -> E. x e. No ( A x.s x ) = 1s ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		recsexd.1	$$⊢\phi \to A\in \mathrm{No}$$
2		recsexd.2	Could not format ( ph -> A =/= 0s ) : No typesetting found for |- ( ph -> A =/= 0s ) with typecode |-
3		recsex	Could not format ( ( A e. No /\ A =/= 0s ) -> E. x e. No ( A x.s x ) = 1s ) : No typesetting found for |- ( ( A e. No /\ A =/= 0s ) -> E. x e. No ( A x.s x ) = 1s ) with typecode |-
4	1 2 3	syl2anc	Could not format ( ph -> E. x e. No ( A x.s x ) = 1s ) : No typesetting found for |- ( ph -> E. x e. No ( A x.s x ) = 1s ) with typecode |-