Theorems · Theorem · category theory
CategoryTheory.ModObj.ext_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {M : C}
[inst_2 : CategoryTheory.MonObj M] {X : C} {h₁ h₂ : CategoryTheory.ModObj M X},
h₁ = h₂ ↔ CategoryTheory.ModObj.smul = CategoryTheory.ModObj.smul- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonObjstatement and proof · cited by 199
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObjstatement · cited by 185
- CategoryTheory.ModObjstatement and proof · cited by 38
- CategoryTheory.ModObj.smulstatement and proof · cited by 36
- CategoryTheory.ModObj.extproof · cited by 1
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