Theorems · Theorem · functional analysis
WithLp.toLp_injective
∀ (p : ENNReal) {V : Type u_4}, Function.Injective (WithLp.toLp p)- Defined in
- Mathlib.Analysis.Normed.Lp.WithLp
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- WithLpstatement · cited by 345
- WithLp.ofLp_toLpproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- WithLp.toLp_eq_zeroproof · cited by 6
- Behrend.threeAPFree_sphereproof · cited by 1
- RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zeroproof · cited by 1
- WithLp.toLp_bijectiveproof · cited by 0