Theorems · Theorem · general topology
dist_sub_left
∀ {G : Type v} [inst : AddGroup G] [inst_1 : PseudoMetricSpace G] [IsIsometricVAdd G G] [IsIsometricVAdd Gᵃᵒᵖ G]
(a b c : G), dist (a - b) (a - c) = dist b c- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- AddGroupstatement and proof · cited by 4,410
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement and proof · cited by 1,539
- sub_eq_add_negproof · cited by 1,023
- AddOppositestatement and proof · cited by 452
- IsIsometricVAddstatement and proof · cited by 74
- dist_add_leftproof · cited by 7
- dist_neg_negproof · cited by 3
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