Similar.reverse_of_three
∀ {P₁ : Type u_3} {P₂ : Type u_4} [inst : PseudoEMetricSpace P₁] [inst_1 : PseudoEMetricSpace P₂] {a b c : P₁}
{a' b' c' : P₂}, Similar ![a, b, c] ![a', b', c'] → Similar ![c, b, a] ![c', b', a']Reversing the order of vertices preserves similarity.
- Defined in
- Mathlib.Topology.MetricSpace.Similarity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Similarstatement and proof · cited by 49
- Similar.comm_leftproof · cited by 3
- Similar.comm_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanGeometry.similar_of_angle_angleproof · cited by 0