Theorems · Theorem · field theory
Nat.one_div_lt_one_div
∀ {α : Type u_1} [inst : Semifield α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] {n m : ℕ},
n < m → 1 / (↑m + 1) < 1 / (↑n + 1)- Defined in
- Mathlib.Data.Nat.Cast.Order.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Semifieldstatement and proof · cited by 439
- Nat.cast_add_one_posproof · cited by 18
- one_div_lt_one_div_of_ltproof · cited by 2
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