Theorems · Theorem · general topology
AddCircle.equivIco_coe_eq
∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] {p : 𝕜} [inst_1 : LinearOrder 𝕜] [inst_2 : IsOrderedAddMonoid 𝕜]
[hp : Fact (0 < p)] {a : 𝕜} [inst_3 : Archimedean 𝕜] {x : 𝕜} (hx : x ∈ Set.Ico a (a + p)),
(AddCircle.equivIco p a) ↑x = ⟨x, hx⟩- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement and proof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Equiv.symmproof · cited by 3,681
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientproof · cited by 2,301
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Icostatement and proof · cited by 799
- Archimedeanstatement and proof · cited by 603
Cited by1
Results whose statement or proof uses this declaration.
- AddCircle.liftIco_coe_applyproof · cited by 5