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No. The counterexample to this question also works here. This lattice has a join-incomplete endomorphism, but no nonconstant map to the 2-element lattice.
No. The counterexample to this question also works here. This lattice has a join-incomplete endomorphism, but no nonconstant map to the 2-element lattice.
No. The counterexample to this question also works here.
No. The counterexample to thisthis question also works here. This lattice has a join-incomplete endomorphism, but no nonconstant map to the 2-element lattice.
No. The counterexample to this question also works here.
No. The counterexample to this question also works here. This lattice has a join-incomplete endomorphism, but no nonconstant map to the 2-element lattice.
