Theorems · Theorem · number theory
NNRat.natCast_le_cast
∀ {K : Type u_5} [inst : Semifield K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] {m : ℕ} {n : ℚ≥0},
↑m ≤ ↑n ↔ ↑m ≤ n- Defined in
- Mathlib.Data.Rat.Cast.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
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
- 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
- NNRat.cast_natCastproof · cited by 31
- NNRat.cast_leproof · cited by 4
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