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Commit 2020-12-01 10:59 ca3351f6

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feat(rat/{basic,floor}) add floor lemmas (#5148)

Estimated changes

Modified src/data/rat/basic.lean

added theorem rat.exists_eq_mul_div_num_and_eq_mul_div_denom

Modified src/data/rat/floor.lean

added theorem int.mod_nat_eq_sub_mul_floor_rat_div

added theorem nat.coprime_sub_mul_floor_rat_div_of_coprime

added theorem rat.floor_int_div_nat_eq_div

added theorem rat.fract_inv_num_lt_num_of_pos

added theorem rat.num_lt_succ_floor_mul_denom