Theorems · Theorem · functional analysis
nnnorm_one
∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] [inst_1 : One G] [NormOneClass G], ‖1‖₊ = 1- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNNorm.nnnormstatement · cited by 952
- NNReal.eqproof · cited by 201
- NormOneClass.norm_oneproof · cited by 148
- NormOneClassstatement and proof · cited by 136
Cited by11
Results whose statement or proof uses this declaration.
- enorm_oneproof · cited by 26
- MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_realproof · cited by 2
- Matrix.linfty_opNNNorm_eq_opNNNormproof · cited by 2
- Int.nnnorm_coe_unitsproof · cited by 1
- Complex.nnnorm_eq_one_of_pow_eq_oneproof · cited by 1
- spectrum.spectralRadius_oneproof · cited by 1
- bergelson'proof · cited by 1
- Polynomial.cauchyBound_X_add_Cproof · cited by 0
- nnnorm_pow_leproof · cited by 0
- Polynomial.cauchyBound_Xproof · cited by 0
- Polynomial.cauchyBound_X_sub_Cproof · cited by 0