Metamath Proof Explorer


Theorem dfblockliftmap

Description: Alternate definition of the block lift map. (Contributed by Peter Mazsa, 29-Jan-2026) (Revised by Peter Mazsa, 22-Feb-2026)

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

Proof

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