Theorem relqmap

Description: Quotient map is a relation. Guarantees that QMap can be composed, restricted, and used in other relation infrastructure (e.g., membership in Disjs , Rels -based typing). (Contributed by Peter Mazsa, 12-Feb-2026)

	Ref	Expression
Assertion	relqmap	Could not format assertion : No typesetting found for |- Rel QMap R with typecode |-

Proof

Step	Hyp	Ref	Expression
1		mptrel	$$⊢\mathrm{Rel}\left(x\in \mathrm{dom}R⟼\left[x\right]R\right)$$
2		df-qmap	Could not format QMap R = ( x e. dom R |-> [ x ] R ) : No typesetting found for |- QMap R = ( x e. dom R |-> [ x ] R ) with typecode |-
3	2	releqi	Could not format ( Rel QMap R <-> Rel ( x e. dom R |-> [ x ] R ) ) : No typesetting found for |- ( Rel QMap R <-> Rel ( x e. dom R |-> [ x ] R ) ) with typecode |-
4	1 3	mpbir	Could not format Rel QMap R : No typesetting found for |- Rel QMap R with typecode |-