Theorems · Theorem · number theory
NNRat.preimage_cast_Ici
∀ {K : Type u_5} [inst : Semifield K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] (p : ℚ≥0),
NNRat.cast ⁻¹' Set.Ici ↑p = Set.Ici p- Defined in
- Mathlib.Data.Rat.Cast.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 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.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.preimagestatement · cited by 4,946
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Set.Icistatement · cited by 1,070
- NNRatstatement and proof · cited by 523
- Semifieldstatement and proof · cited by 439
- NNRat.caststatement · cited by 235
- NNRat.castOrderEmbeddingproof · cited by 12
- OrderEmbedding.preimage_Iciproof · cited by 3
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