Theorems · Theorem · convex and discrete geometry
LinearIsometry.strictConvexSpace
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NormedField 𝕜] [inst_1 : PartialOrder 𝕜]
[inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] [inst_4 : NormedAddCommGroup F] [inst_5 : NormedSpace 𝕜 F]
[StrictConvexSpace 𝕜 F] (f : E →ₗᵢ[𝕜] F), StrictConvexSpace 𝕜 E- Defined in
- Mathlib.Analysis.Convex.LinearIsometry
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realproof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- PartialOrderstatement and proof · cited by 6,410
- NormedFieldstatement and proof · cited by 1,084
- LinearIsometrystatement and proof · cited by 194
- StrictConvexproof · cited by 71
- StrictConvexSpacestatement and proof · cited by 57
- LinearIsometry.isometryproof · cited by 24
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