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  • diffhist Lattice (order) 19:18 +61 178.255.168.171 talk (In a section "Semimodularity" I replaced "For a graded lattice, (upper) semimodularity is equivalent to the following condition on the rank function <math>r\colon</math>" by "For a lattice of finite length, the (upper) semimodularity is equivalent to the condition that the lattice is graded and its rank function <math>r</math> satisfies the following condition". This follows from Birkhoff: Lattice Theory, AMS 1991, specifically Corollary 1 in sec IV.1 and Theorems 14 and 15 in sec II.8.)