Theorems · Theorem · number theory
NNRat.intCeil_cast
∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] (x : ℚ≥0),
⌈↑x⌉ = ⌈↑x⌉- Defined in
- Mathlib.Data.NNRat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
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
- NNRatstatement and proof · cited by 523
- FloorRingstatement and proof · cited by 405
- Int.cast_natCastproof · cited by 393
- zero_leproof · cited by 382
- NNRat.caststatement and proof · cited by 235
- Nat.ceilproof · cited by 141
- Int.ceilstatement · cited by 138
- sub_lt_iff_lt_addproof · cited by 39
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