Theorems · Theorem · general topology
Congruent.refl
∀ {ι : Type u_1} {P₁ : Type u_3} [inst : PseudoEMetricSpace P₁] (v₁ : ι → P₁), Congruent v₁ v₁- Defined in
- Mathlib.Topology.MetricSpace.Congruence
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Congruentstatement · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- Congruent.comp_left_iffproof · cited by 1