Existence of Non-Empty Finite Infima in Meet Semilattice

Theorem
Let $\struct {S, \preceq}$ be a meet semilattice.

Let $A$ be a non-empty finite subset of $S$.

Then $A$ admits a infimum in $\struct {S, \preceq}$.

Proof
This follows by mutatis mutandis of the proof of Existence of Non-Empty Finite Suprema in Join Semilattice.