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Commit 2021-10-22 13:16 bee8d4ac

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chore(order/filter/basic): golf a proof (#9874)

Estimated changes

Modified src/algebra/big_operators/finprod.lean

Modified src/data/set/lattice.lean

added theorem set.Inter_coe_set

added theorem set.Inter_subtype

added theorem set.Union_coe_set

modified theorem set.Union_subtype

Modified src/measure_theory/measure/measure_space_def.lean

Modified src/order/filter/basic.lean

modified theorem filter.mem_infi_finset

Modified src/topology/metric_space/hausdorff_dimension.lean

Modified src/topology/paracompact.lean