Theorems · Theorem · functional analysis
ESeminormedAddMonoid.enorm_add_le
∀ {E : Type u_8} {inst : TopologicalSpace E} [self : ESeminormedAddMonoid E] (x y : E), ‖x + y‖ₑ ≤ ‖x‖ₑ + ‖y‖ₑ- Defined in
- Mathlib.Analysis.Normed.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ESeminormedAddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- ENorm.enormstatement · cited by 715
- ESeminormedAddMonoidstatement and proof · cited by 133
Cited by1
Results whose statement or proof uses this declaration.
- enorm_add_leproof · cited by 11