Theorems · Theorem · general topology
nndist_add_add_le
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] (a₁ a₂ b₁ b₂ : E),
nndist (a₁ + a₂) (b₁ + b₂) ≤ nndist a₁ b₁ + nndist a₂ b₂- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- NNDist.nndiststatement · cited by 235
- NNReal.coe_le_coeproof · cited by 73
- dist_add_add_leproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- edist_add_add_leproof · cited by 2