Theorems · Theorem · category theory
CategoryTheory.Limits.hasTerminal_of_hasInitial_op
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [CategoryTheory.Limits.HasInitial Cᵒᵖ],
CategoryTheory.Limits.HasTerminal C- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasInitialstatement and proof · cited by 185
- CategoryTheory.Limits.HasTerminalstatement · cited by 142
- CategoryTheory.Limits.initialIsInitialproof · cited by 35
- CategoryTheory.Limits.IsTerminal.hasTerminalproof · cited by 6
- CategoryTheory.Limits.terminalUnopOfInitialproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.hasTerminal_of_isSeparatingproof · cited by 1