Theorems · Theorem · order theory
Nat.floor_mono
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : LinearOrder R] [inst_2 : FloorSemiring R] [IsStrictOrderedRing R],
Monotone Nat.floor- Defined in
- Mathlib.Algebra.Order.Floor.Semiring
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- LinearOrderstatement and proof · cited by 8,572
- LE.le.transproof · cited by 3,151
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Monotonestatement · cited by 1,397
- le_totalproof · cited by 294
- Nat.floorstatement and proof · cited by 215
- FloorSemiringstatement and proof · cited by 179
- Nat.floor_leproof · cited by 21
- Nat.le_floorproof · cited by 11
- Nat.floor_of_nonposproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- tendsto_nat_floor_atTopproof · cited by 6
- Nat.floor_le_floorproof · cited by 3
- Int.log_mono_rightproof · cited by 1
- ProbabilityTheory.strong_law_aux1proof · cited by 1
- Nat.closedBall_eq_Iccproof · cited by 0
- Chebyshev.theta_monoproof · cited by 0
- Chebyshev.psi_monoproof · cited by 0
- GromovHausdorff.totallyBoundedproof · cited by 0