Theorems · Theorem · general topology
dist_add_right
∀ {M : Type u} [inst : Add M] [inst_1 : PseudoMetricSpace M] [IsIsometricVAdd Mᵃᵒᵖ M] (a b c : M),
dist (a + c) (b + c) = dist a b- Cited by
- 7 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- AddOppositestatement and proof · cited by 452
- AddOpposite.opproof · cited by 192
- IsIsometricVAddstatement and proof · cited by 74
- dist_vaddproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- dist_add_add_leproof · cited by 4
- dist_sub_eq_dist_add_rightproof · cited by 3
- ConvexOn.continuousOn_tfaeproof · cited by 3
- BoxIntegral.Integrable.dist_integralSum_le_of_memBaseSetproof · cited by 2
- abs_dist_sub_le_dist_add_addproof · cited by 1
- dist_sub_rightproof · cited by 1
- dist_sub_eq_dist_add_leftproof · cited by 0