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Theorems · Theorem · general topology

congruent_comm

∀ {ι : Type u_1} {P₁ : Type u_3} {P₂ : Type u_4} {v₁ : ι → P₁} {v₂ : ι → P₂} [inst : PseudoEMetricSpace P₁]
  [inst_1 : PseudoEMetricSpace P₂], Congruent v₁ v₂ ↔ Congruent v₂ v₁
Defined in
Mathlib.Topology.MetricSpace.Congruence
Cited by
1 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
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Congruent.comp_right_iff · cited by 0Congruent.comp_right_iffPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceCongruent · cited by 37CongruentCongruent.symm · cited by 2Congruent.symmcongruent_commCITED BYCITES

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