Theorems · Theorem · convex and discrete geometry
ContinuousAffineEquiv.intrinsicFrontier_image
∀ {𝕜 : Type u_1} {V : Type u_2} {W : Type u_3} {Q : Type u_4} {P : Type u_5} [inst : Ring 𝕜] [inst_1 : AddCommGroup V]
[inst_2 : AddCommGroup W] [inst_3 : Module 𝕜 V] [inst_4 : Module 𝕜 W] [inst_5 : TopologicalSpace P]
[inst_6 : TopologicalSpace Q] [inst_7 : AddTorsor V P] [inst_8 : AddTorsor W Q] (φ : P ≃ᴬ[𝕜] Q) (s : Set P),
intrinsicFrontier 𝕜 (⇑φ '' s) = ⇑φ '' intrinsicFrontier 𝕜 s- Defined in
- Mathlib.Analysis.Convex.Intrinsic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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 and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Set.Elemproof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- AddTorsorstatement and proof · cited by 1,657
- affineSpanproof · cited by 417
- ContinuousAffineEquivstatement and proof · cited by 90
- AffineEquiv.toAffineMapproof · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- AffineEquiv.intrinsicFrontier_imageproof · cited by 0