Theorems · Theorem · general topology
AddCircle.coe_eq_zero_iff_of_mem_Ico
∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] {p : 𝕜} [inst_1 : LinearOrder 𝕜] [IsOrderedAddMonoid 𝕜] [hp : Fact (0 < p)]
{a : 𝕜} [Archimedean 𝕜], a ∈ Set.Ico 0 p → (↑a = 0 ↔ a = 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- AddSubgroupstatement · cited by 3,232
- Factstatement and proof · cited by 2,726
- zero_addproof · cited by 2,366
- HasQuotient.Quotientstatement and proof · cited by 2,301
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Icostatement and proof · cited by 799
- Archimedeanstatement and proof · cited by 603
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- QuotientAddGroup.mkstatement and proof · cited by 348
Cited by1
Results whose statement or proof uses this declaration.
- HurwitzKernelBounds.isBigO_atTop_F_int_zero_subproof · cited by 1