Theorems · Theorem · real analysis
tendsto_ceil_atTop
∀ {α : Type u_1} [inst : Ring α] [inst_1 : LinearOrder α] [inst_2 : FloorRing α] [IsStrictOrderedRing α],
Filter.Tendsto Int.ceil Filter.atTop Filter.atTop- Defined in
- Mathlib.Topology.Algebra.Order.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Ringstatement and proof · cited by 7,463
- Filter.Tendstostatement · cited by 3,814
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Filter.atTopstatement · cited by 2,405
- FloorRingstatement and proof · cited by 405
- Eq.geproof · cited by 375
- Int.ceilstatement · cited by 138
- Monotone.tendsto_atTop_atTopproof · cited by 13
- Int.ceil_intCastproof · cited by 11
- Int.ceil_monoproof · cited by 5
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