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Commit 2020-06-13 13:42 cc16d35b

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feat(linear_algebra/finite_dimensional): cardinalities and linear independence (#3056)

Estimated changes

Modified src/linear_algebra/finite_dimensional.lean

added theorem finite_dimensional.cardinal_mk_le_findim_of_linear_independent

added theorem finite_dimensional.exists_nontrivial_relation_of_dim_lt_card

added theorem finite_dimensional.exists_nontrivial_relation_sum_zero_of_dim_succ_lt_card

added theorem finite_dimensional.exists_relation_sum_zero_pos_coefficient_of_dim_succ_lt_card

added theorem finite_dimensional.finset_card_le_findim_of_linear_independent

added theorem finite_dimensional.fintype_card_le_findim_of_linear_independent