Theorems · Theorem · real analysis
abs_fst_of_mem_pi_polarCoord_target
∀ {ι : Type u_1} {p : ι → ℝ × ℝ}, (p ∈ Set.univ.pi fun x => polarCoord.target) → ∀ (i : ι), |(p i).1| = (p i).1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.univstatement and proof · cited by 3,945
- absstatement · cited by 1,814
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- PartialEquiv.targetstatement and proof · cited by 650
- Set.pistatement and proof · cited by 405
- abs_of_posproof · cited by 114
- polarCoordstatement and proof · cited by 25
- Set.mem_univ_piproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- integral_comp_pi_polarCoord_symmproof · cited by 1
- lintegral_comp_pi_polarCoord_symmproof · cited by 1