Theorem bnj118

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

	Ref	Expression
Hypotheses	bnj118.1	$$⊢\phi \leftrightarrow f\left(\varnothing \right)=pred\left(x,A,R\right)$$
	bnj118.2	No typesetting found for |- ( ph' <-> [. 1o / n ]. ph ) with typecode |-
Assertion	bnj118	Could not format assertion : No typesetting found for |- ( ph' <-> ( f ` (/) ) = _pred ( x , A , R ) ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		bnj118.1	$$⊢\phi \leftrightarrow f\left(\varnothing \right)=pred\left(x,A,R\right)$$
2		bnj118.2	Could not format ( ph' <-> [. 1o / n ]. ph ) : No typesetting found for |- ( ph' <-> [. 1o / n ]. ph ) with typecode |-
3		bnj105	$$⊢1_{𝑜}\in \mathrm{V}$$
4	1 3	bnj91	$$⊢\underset{\dot{}}{[}{1}_{𝑜}/n\underset{\dot{}}{]}\phi \leftrightarrow f\left(\varnothing \right)=pred\left(x,A,R\right)$$
5	2 4	bitri	Could not format ( ph' <-> ( f ` (/) ) = _pred ( x , A , R ) ) : No typesetting found for |- ( ph' <-> ( f ` (/) ) = _pred ( x , A , R ) ) with typecode |-