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Theorems · Theorem · general topology

Congruent.trans

∀ {ι : Type u_1} {P₁ : Type u_3} {P₂ : Type u_4} {P₃ : Type u_5} {v₁ : ι → P₁} {v₂ : ι → P₂} {v₃ : ι → P₃}
  [inst : PseudoEMetricSpace P₁] [inst_1 : PseudoEMetricSpace P₂] [inst_2 : PseudoEMetricSpace P₃],
  Congruent v₁ v₂ → Congruent v₂ v₃ → Congruent v₁ v₃
Defined in
Mathlib.Topology.MetricSpace.Congruence
Cited by
3 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

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Congruent.comp_left · cited by 1Congruent.comp_leftCongruent.comp_left_iff · cited by 1Congruent.comp_left_iffCongruent.comp_right · cited by 1Congruent.comp_rightPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceCongruent · cited by 37CongruentCongruent.transCITED BYCITES

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