Theorems · Theorem · general topology
dist_self_add_right
∀ {E : Type u_2} [inst : SeminormedAddGroup E] (a b : E), dist b (b + a) = ‖a‖- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement · cited by 5,413
- add_zeroproof · cited by 2,707
- Dist.diststatement and proof · cited by 1,539
- SeminormedAddGroupstatement and proof · cited by 331
- dist_zero_leftproof · cited by 15
- dist_add_leftproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- dist_self_add_leftproof · cited by 11
- dist_self_sub_rightproof · cited by 1