Theorems · Theorem · number theory
NNRat.floor_cast
∀ {K : Type u_1} [inst : Semifield K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorSemiring K]
(x : ℚ≥0), ⌊↑x⌋₊ = ⌊x⌋₊- Defined in
- Mathlib.Data.NNRat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- NNRatstatement and proof · cited by 523
- Semifieldstatement and proof · cited by 439
- NNRat.caststatement and proof · cited by 235
- Nat.floorstatement and proof · cited by 215
- FloorSemiringstatement and proof · cited by 179
- NNRat.cast_nonnegproof · cited by 6
- Nat.floor_eq_iffproof · cited by 5
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