bnj206

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypotheses	bnj206.1	No typesetting found for \|- ( ph' <-> [. M / n ]. ph ) with typecode \|-
	bnj206.2	No typesetting found for \|- ( ps' <-> [. M / n ]. ps ) with typecode \|-
	bnj206.3	No typesetting found for \|- ( ch' <-> [. M / n ]. ch ) with typecode \|-
	bnj206.4	$⊢ M \in V$
Assertion	bnj206	Could not format assertion : No typesetting found for \|- ( [. M / n ]. ( ph /\ ps /\ ch ) <-> ( ph' /\ ps' /\ ch' ) ) with typecode \|-

Step	Hyp	Ref	Expression
1		bnj206.1	Could not format ( ph' <-> [. M / n ]. ph ) : No typesetting found for \|- ( ph' <-> [. M / n ]. ph ) with typecode \|-
2		bnj206.2	Could not format ( ps' <-> [. M / n ]. ps ) : No typesetting found for \|- ( ps' <-> [. M / n ]. ps ) with typecode \|-
3		bnj206.3	Could not format ( ch' <-> [. M / n ]. ch ) : No typesetting found for \|- ( ch' <-> [. M / n ]. ch ) with typecode \|-
4		bnj206.4	$⊢ M \in V$
5		sbc3an	$⊢ \underset{˙}{[} M / n \underset{˙}{]} (φ \land ψ \land χ) \leftrightarrow (\underset{˙}{[} M / n \underset{˙}{]} φ \land \underset{˙}{[} M / n \underset{˙}{]} ψ \land \underset{˙}{[} M / n \underset{˙}{]} χ)$
6	1	bicomi	Could not format ( [. M / n ]. ph <-> ph' ) : No typesetting found for \|- ( [. M / n ]. ph <-> ph' ) with typecode \|-
7	2	bicomi	Could not format ( [. M / n ]. ps <-> ps' ) : No typesetting found for \|- ( [. M / n ]. ps <-> ps' ) with typecode \|-
8	3	bicomi	Could not format ( [. M / n ]. ch <-> ch' ) : No typesetting found for \|- ( [. M / n ]. ch <-> ch' ) with typecode \|-
9	6 7 8	3anbi123i	Could not format ( ( [. M / n ]. ph /\ [. M / n ]. ps /\ [. M / n ]. ch ) <-> ( ph' /\ ps' /\ ch' ) ) : No typesetting found for \|- ( ( [. M / n ]. ph /\ [. M / n ]. ps /\ [. M / n ]. ch ) <-> ( ph' /\ ps' /\ ch' ) ) with typecode \|-
10	5 9	bitri	Could not format ( [. M / n ]. ( ph /\ ps /\ ch ) <-> ( ph' /\ ps' /\ ch' ) ) : No typesetting found for \|- ( [. M / n ]. ( ph /\ ps /\ ch ) <-> ( ph' /\ ps' /\ ch' ) ) with typecode \|-

Metamath Proof Explorer