Theorems · Theorem · category theory

CategoryTheory.Limits.terminal.subsingleton_to

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasStrictTerminalObjects C]
  [inst_2 : CategoryTheory.Limits.HasTerminal C] {A : C}, Subsingleton (⊤_ C ⟶ A)

Defined in: Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
Cited by: 0 results in Mathlib
Foundations: Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasStrictTerminalObjects CategoryTheory.Limits.HasTerminal

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Limits.HasTerminalstatement and proof · cited by 142
CategoryTheory.Limits.terminalstatement · cited by 141
CategoryTheory.Limits.terminalIsTerminalproof · cited by 31
CategoryTheory.Limits.HasStrictTerminalObjectsstatement and proof · cited by 17
CategoryTheory.Limits.IsTerminal.subsingleton_toproof · cited by 1

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