Theorems · Theorem · general topology
edist_mul_mul_le
∀ {E : Type u_2} [inst : SeminormedCommGroup E] (a₁ a₂ b₁ b₂ : E), edist (a₁ * a₂) (b₁ * b₂) ≤ edist a₁ b₁ + edist a₂ b₂- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
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.
- ENNRealstatement · cited by 9,879
- EDist.ediststatement · cited by 735
- SeminormedCommGroupstatement and proof · cited by 191
- edist_nndistproof · cited by 38
- nndist_mul_mul_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- LipschitzOnWith.mulproof · cited by 3