Theorems · Theorem · functional analysis
pi_norm_const_le
∀ {ι : Type u_1} {E : Type u_2} [inst : Fintype ι] [inst_1 : SeminormedAddGroup E] (a : E), ‖fun x => a‖ ≤ ‖a‖- Cited by
- 3 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeSeminormedAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement · cited by 5,413
- le_rflproof · cited by 1,558
- norm_nonnegproof · cited by 725
- SeminormedAddGroupstatement and proof · cited by 331
- pi_norm_le_iff_of_nonnegproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- IsUpperSet.exists_subset_ballproof · cited by 2
- IsLowerSet.exists_subset_ballproof · cited by 2
- pi_nnnorm_const_leproof · cited by 0