Theorems · Theorem · general topology
Set.Icc.addNSMul_eq_right
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [IsOrderedAddMonoid α] {a b : α} (h : a ≤ b) {δ : α}
[Archimedean α], 0 < δ → ∃ m, ∀ n ≥ m, ↑(Set.Icc.addNSMul h δ n) = b- Defined in
- Mathlib.Topology.UnitInterval
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemproof · cited by 7,166
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Set.Iccstatement and proof · cited by 1,702
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- add_commproof · cited by 1,535
- Archimedeanstatement and proof · cited by 603
- max_eq_rightproof · cited by 79
- sub_le_iff_le_addproof · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- exists_monotone_Icc_subset_open_cover_Iccproof · cited by 1
- exists_monotone_Icc_subset_open_cover_unitInterval_prod_selfproof · cited by 0