Let $(A;\wedge,\vee,\odot,\rightarrow_l,\rightarrow_r,0,1)$ be a residuated lattice. Does the inequality $((x\rightarrow_l a)\rightarrow_r a)\odot((y\rightarrow_l a)\rightarrow_r a)\leq (((x\odot y)\rightarrow_l a)\rightarrow_r a)$ hold? If this inequality does not hold is there a counterexample for it?
2026-03-29 18:17:35.1774808255
An inequality in residuated lattices?
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