Commit 2024-09-23 12:22 9a329fb9

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feat: ⌈a⌉ < 2 * a (#17024) From LeanAPAP

Estimated changes

added theorem Int.ceil_le_mul
added theorem Int.ceil_le_two_mul
added theorem Int.ceil_lt_iff
added theorem Int.ceil_lt_mul
added theorem Int.ceil_lt_two_mul
added theorem Int.div_two_lt_floor
added theorem Int.le_ceil_iff
added theorem Int.mul_lt_floor
added theorem Nat.ceil_le_mul
added theorem Nat.ceil_le_two_mul
added theorem Nat.ceil_lt_mul
added theorem Nat.ceil_lt_two_mul
added theorem Nat.div_two_lt_floor
added theorem Nat.mul_lt_floor