Theorems · Theorem · global analysis
stereoInvFunAux_mem
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] {v : E},
‖v‖ = 1 → ∀ {w : E}, w ∈ (ℝ ∙ v)ᗮ → stereoInvFunAux v w ∈ Metric.sphere 0 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Submodulestatement · cited by 7,192
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- InnerProductSpacestatement and proof · cited by 3,523
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- absproof · cited by 1,814
- Submodule.spanstatement and proof · cited by 1,504
- LT.lt.ne'proof · cited by 1,417
Cited by1
Results whose statement or proof uses this declaration.
- stereoInvFun_ne_north_poleproof · cited by 0