Theorems · Theorem · functional analysis
NormedAddGroupHom.SurjectiveOnWith.mono
∀ {V₁ : Type u_2} {V₂ : Type u_3} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
{f : NormedAddGroupHom V₁ V₂} {K : AddSubgroup V₂} {C C' : ℝ},
f.SurjectiveOnWith K C → C ≤ C' → f.SurjectiveOnWith K C'- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Norm.normproof · cited by 5,413
- AddSubgroupstatement and proof · cited by 3,232
- LE.le.transproof · cited by 3,151
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_of_ltproof · cited by 1,175
- norm_nonnegproof · cited by 725
- mul_le_mul_of_nonneg_rightproof · cited by 301
- NormedAddGroupHomstatement and proof · cited by 216
- lt_of_le_of_ne'proof · cited by 149
Cited by1
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.SurjectiveOnWith.exists_posproof · cited by 1