bnj1047

Description: Technical lemma for bnj69 . 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	bnj1047.1	$⊢ ρ \leftrightarrow \forall j \in n (j E i \to \underset{˙}{[} j / i \underset{˙}{]} η)$
	bnj1047.2	No typesetting found for \|- ( et' <-> [. j / i ]. et ) with typecode \|-
Assertion	bnj1047	Could not format assertion : No typesetting found for \|- ( rh <-> A. j e. n ( j _E i -> et' ) ) with typecode \|-

Proof

Step	Hyp	Ref	Expression
1		bnj1047.1	$⊢ ρ \leftrightarrow \forall j \in n (j E i \to \underset{˙}{[} j / i \underset{˙}{]} η)$
2		bnj1047.2	Could not format ( et' <-> [. j / i ]. et ) : No typesetting found for \|- ( et' <-> [. j / i ]. et ) with typecode \|-
3	2	imbi2i	Could not format ( ( j _E i -> et' ) <-> ( j _E i -> [. j / i ]. et ) ) : No typesetting found for \|- ( ( j _E i -> et' ) <-> ( j _E i -> [. j / i ]. et ) ) with typecode \|-
4	3	ralbii	Could not format ( A. j e. n ( j _E i -> et' ) <-> A. j e. n ( j _E i -> [. j / i ]. et ) ) : No typesetting found for \|- ( A. j e. n ( j _E i -> et' ) <-> A. j e. n ( j _E i -> [. j / i ]. et ) ) with typecode \|-
5	1 4	bitr4i	Could not format ( rh <-> A. j e. n ( j _E i -> et' ) ) : No typesetting found for \|- ( rh <-> A. j e. n ( j _E i -> et' ) ) with typecode \|-

Metamath Proof Explorer

Theorem bnj1047

Proof