Theorem eldisjsim4

Description: Disjs implies element-disjoint range of QMap . Same as eldisjsim3 but expressed using the block-map range ran QMap R (often the more modular expression). (Contributed by Peter Mazsa, 15-Feb-2026)

	Ref	Expression
Assertion	eldisjsim4	Could not format assertion : No typesetting found for |- ( R e. Disjs -> ran QMap R e. ElDisjs ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		rnqmap	Could not format ran QMap R = ( dom R /. R ) : No typesetting found for |- ran QMap R = ( dom R /. R ) with typecode |-
2		eldisjsim3	$$⊢R\in \mathrm{Disjs}\to \mathrm{dom}R/R\in \mathrm{ElDisjs}$$
3	1 2	eqeltrid	Could not format ( R e. Disjs -> ran QMap R e. ElDisjs ) : No typesetting found for |- ( R e. Disjs -> ran QMap R e. ElDisjs ) with typecode |-