Theorems · Definition · category theory
CategoryTheory.SemilatticeInf.cartesianMonoidalCategory
(C : Type u) → [inst : SemilatticeInf C] → [OrderTop C] → CategoryTheory.CartesianMonoidalCategory C
Cartesian monoidal structure for the preorder category of a meet-semilattice with a greatest element.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeInfOrderTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- CategoryTheory.CartesianMonoidalCategorystatement · cited by 947
- SemilatticeInfstatement and proof · cited by 634
- CategoryTheory.homOfLEproof · cited by 554
- OrderTopstatement and proof · cited by 493
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- CategoryTheory.Limits.BinaryFan.mkproof · cited by 112
- CategoryTheory.Limits.asEmptyConeproof · cited by 12
- CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProductsproof · cited by 0
- Preorder.isLimitBinaryFanproof · cited by 0
- Preorder.isTerminalTopproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.SemilatticeInf.tensorUnitstatement · cited by 0
- CategoryTheory.SemilatticeInf.braidedCategorystatement · cited by 0
- CategoryTheory.SemilatticeInf.tensorObjstatement · cited by 0