Theorems · Theorem · general topology

Dilation.cancel_left

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : PseudoEMetricSpace γ] {g : β →ᵈ γ} {f₁ f₂ : α →ᵈ β},
  Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)

Defined in: Mathlib.Topology.MetricSpace.Dilation
Cited by: 0 results in Mathlib
Foundations: Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace PseudoEMetricSpace PseudoEMetricSpace

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DFunLike.coestatement and proof · cited by 62,936
PseudoEMetricSpacestatement and proof · cited by 1,536
Dilationstatement and proof · cited by 44
Dilation.compstatement and proof · cited by 10
Dilation.extproof · cited by 8
Dilation.comp_applyproof · cited by 1

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