Is there a model of $\mathsf{ZF}$ in which the Axiom of Choice fails but the following statement holds for arbitrary sets $A, B$:
there is an injection $A \to B$ if there is a surjection $B \to A$?
Is there a model of $\mathsf{ZF}$ in which the Axiom of Choice fails but the following statement holds for arbitrary sets $A, B$:
there is an injection $A \to B$ if there is a surjection $B \to A$?
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