Theorems · Theorem · category theory
ModuleCat.hasInjectiveDimensionLE_iff_of_linearEquiv
∀ {R : Type u} [inst : Ring R] [Small.{v, u} R] [Small.{v', u} R] {M : ModuleCat R} {N : ModuleCat R} (e : ↑M ≃ₗ[R] ↑N)
(n : ℕ), CategoryTheory.HasInjectiveDimensionLE M n ↔ CategoryTheory.HasInjectiveDimensionLE N n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- Ringstatement and proof · cited by 7,463
- LinearEquivstatement and proof · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierstatement and proof · cited by 997
- ModuleCat.ofproof · cited by 594
- Smallstatement and proof · cited by 369
- LinearEquiv.transproof · cited by 298
- ULift.moduleEquivproof · cited by 18
- CategoryTheory.HasInjectiveDimensionLEstatement and proof · cited by 9
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