Theorems · Theorem · commutative algebra
ModuleCat.hasProjectiveDimensionLE_of_semiLinearEquiv
∀ {R : Type u} [inst : Ring R] [Small.{v, u} R] {R' : Type u'} [inst_2 : Ring R'] [Small.{v', u'} R'] (e : R ≃+* R')
{M : ModuleCat R} {N : ModuleCat R'} (e' : ↑M ≃ₛₗ[↑e] ↑N) (n : ℕ) [CategoryTheory.HasProjectiveDimensionLE M n],
CategoryTheory.HasProjectiveDimensionLE N n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites67
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- LinearMapproof · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Submoduleproof · cited by 7,192
- Equiv.symmproof · cited by 3,681
- LinearEquivstatement and proof · cited by 3,317
- zero_addproof · cited by 2,366
- CategoryTheory.ShortComplexproof · cited by 1,850
- LinearMap.compproof · cited by 1,642
- LinearEquiv.symmproof · cited by 1,461
- ModuleCatstatement and proof · cited by 1,429
- LinearEquiv.toLinearMapproof · cited by 1,171
Cited by3
Results whose statement or proof uses this declaration.
- ModuleCat.projectiveDimension_eq_of_semiLinearEquivproof · cited by 2
- ModuleCat.hasProjectiveDimensionLE_of_linearEquivproof · cited by 1
- CategoryTheory.hasProjectiveDimensionLE_of_semiLinearEquivproof · cited by 0