Theorem bnj562

Description: Technical lemma for bnj852 . This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypotheses	bnj562.18	$$⊢\sigma \leftrightarrow \left(m\in D\wedge n=\mathrm{suc}m\wedge p\in m\right)$$
	bnj562.19	$$⊢\eta \leftrightarrow \left(m\in D\wedge n=\mathrm{suc}m\wedge p\in \mathrm{\omega }\wedge m=\mathrm{suc}p\right)$$
	bnj562.38	No typesetting found for |- ( ( R _FrSe A /\ ta /\ si ) -> ph" ) with typecode |-
Assertion	bnj562	Could not format assertion : No typesetting found for |- ( ( R _FrSe A /\ ta /\ et ) -> ph" ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		bnj562.18	$$⊢\sigma \leftrightarrow \left(m\in D\wedge n=\mathrm{suc}m\wedge p\in m\right)$$
2		bnj562.19	$$⊢\eta \leftrightarrow \left(m\in D\wedge n=\mathrm{suc}m\wedge p\in \mathrm{\omega }\wedge m=\mathrm{suc}p\right)$$
3		bnj562.38	Could not format ( ( R _FrSe A /\ ta /\ si ) -> ph" ) : No typesetting found for |- ( ( R _FrSe A /\ ta /\ si ) -> ph" ) with typecode |-
4	1 2	bnj556	$$⊢\eta \to \sigma$$
5	4 3	syl3an3	Could not format ( ( R _FrSe A /\ ta /\ et ) -> ph" ) : No typesetting found for |- ( ( R _FrSe A /\ ta /\ et ) -> ph" ) with typecode |-