Theorems · Theorem · number theory
sub_half_lt_round
∀ {α : Type u_2} [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] [inst_3 : FloorRing α] (x : α),
x - 1 / 2 < ↑(round x)- Defined in
- Mathlib.Algebra.Order.Round
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Nat.cast_zeroproof · cited by 1,870
- FloorRingstatement and proof · cited by 405
- Int.floorproof · cited by 225
- roundstatement · cited by 49
- round_eqproof · cited by 8
- Int.sub_one_lt_floorproof · cited by 6
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