Theorems · Theorem · order theory
Nat.ceil_mono
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : LinearOrder R] [inst_2 : FloorSemiring R], Monotone Nat.ceil- Defined in
- Mathlib.Algebra.Order.Floor.Semiring
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Monotonestatement · cited by 1,397
- FloorSemiringstatement and proof · cited by 179
- Nat.ceilstatement · cited by 141
- GaloisConnection.monotone_lproof · cited by 76
- Nat.gc_ceil_coeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Int.log_mono_rightproof · cited by 1
- Nat.ceil_le_ceilproof · cited by 1
- tendsto_nat_ceil_atTopproof · cited by 1