Metamath Proof Explorer


Theorem wdomimag

Description: A set is weakly dominant over its image under any function. (Contributed by Stefan O'Rear, 14-Feb-2015) (Revised by Mario Carneiro, 25-Jun-2015)

Ref Expression
Assertion wdomimag Fun F A V F A * A

Proof

Step Hyp Ref Expression
1 funimaexg Fun F A V F A V
2 wdomima2g Fun F A V F A V F A * A
3 1 2 mpd3an3 Fun F A V F A * A