Theorems · Theorem · global analysis
IccLeftChart_symm_apply_of_le
∀ {x y : ℝ} [hxy : Fact (x < y)] {z : EuclideanHalfSpace 1} (hz : (↑z).ofLp 0 ≤ y - x),
↑(IccLeftChart x y).symm z = ⟨(↑z).ofLp 0 + x, ⋯⟩- Defined in
- Mathlib.Geometry.Manifold.Instances.Real
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- ENNRealstatement · cited by 9,879
- Set.Elemstatement · cited by 7,166
- Factstatement and proof · cited by 2,726
- Nat.cast_zeroproof · cited by 1,870
- Set.Iccstatement · cited by 1,702
- OpenPartialHomeomorph.toFun'statement · cited by 745
- OpenPartialHomeomorph.symmstatement · cited by 460
- le_of_not_gtproof · cited by 430
- WithLp.ofLpstatement and proof · cited by 323
- EuclideanSpacestatement · cited by 307
Cited by1
Results whose statement or proof uses this declaration.
- isImmersionOfComplement_subtypeVal_Iccproof · cited by 3