pith. machine review for the scientific record. sign in
theorem proved term proof

quotientEventMap_injective

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  64theorem quotientEventMap_injective :
  65    Function.Injective (quotientEventMap r) := by

proof body

Term-mode proof.

  66  intro q₁ q₂ h
  67  obtain ⟨c₁, hc₁⟩ := Quotient.exists_rep q₁
  68  obtain ⟨c₂, hc₂⟩ := Quotient.exists_rep q₂
  69  simp only [← hc₁, ← hc₂] at h ⊢
  70  -- h : quotientEventMap r ⟦c₁⟧ = quotientEventMap r ⟦c₂⟧
  71  -- which means r.R c₁ = r.R c₂
  72  apply Quotient.sound
  73  exact h
  74
  75/-- The quotient is isomorphic to the image of R -/

used by (7)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (12)

Lean names referenced from this declaration's body.