Theorem dfadjliftmap

Description: Alternate (expanded) definition of the adjoined lift map. (Contributed by Peter Mazsa, 28-Jan-2026) (Revised by Peter Mazsa, 22-Feb-2026)

	Ref	Expression
Assertion	dfadjliftmap	Could not format assertion : No typesetting found for |- ( R AdjLiftMap A ) = ( m e. dom ( ( R u. `' _E ) |` A ) |-> [ m ] ( ( R u. `' _E ) |` A ) ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		df-adjliftmap	Could not format ( R AdjLiftMap A ) = QMap ( ( R u. `' _E ) |` A ) : No typesetting found for |- ( R AdjLiftMap A ) = QMap ( ( R u. `' _E ) |` A ) with typecode |-
2		df-qmap	Could not format QMap ( ( R u. `' _E ) |` A ) = ( m e. dom ( ( R u. `' _E ) |` A ) |-> [ m ] ( ( R u. `' _E ) |` A ) ) : No typesetting found for |- QMap ( ( R u. `' _E ) |` A ) = ( m e. dom ( ( R u. `' _E ) |` A ) |-> [ m ] ( ( R u. `' _E ) |` A ) ) with typecode |-
3	1 2	eqtri	Could not format ( R AdjLiftMap A ) = ( m e. dom ( ( R u. `' _E ) |` A ) |-> [ m ] ( ( R u. `' _E ) |` A ) ) : No typesetting found for |- ( R AdjLiftMap A ) = ( m e. dom ( ( R u. `' _E ) |` A ) |-> [ m ] ( ( R u. `' _E ) |` A ) ) with typecode |-