Theorems · Definition · commutative algebra
Equiv.module
(R : Type u_1) →
{α : Type u_2} →
{β : Type u_3} → [inst : Semiring R] → (e : α ≃ β) → [inst_1 : AddCommMonoid β] → [Module R β] → Module R αTransfer Module across an Equiv
- Defined in
- Mathlib.Algebra.Module.TransferInstance
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- DistribMulActionproof · cited by 584
- Equiv.addCommMonoidstatement · cited by 8
- Equiv.distribMulActionproof · cited by 0
Cited by12
Results whose statement or proof uses this declaration.
- Equiv.linearEquivstatement · cited by 9
- OrzechProperty.injective_of_surjective_of_injectiveproof · cited by 5
- Equiv.coalgebrastatement · cited by 1
- Equiv.continuousLinearEquivstatement · cited by 1
- Equiv.coalgebraIsCocommstatement · cited by 0
- Equiv.coalgebraStructstatement · cited by 0
- Equiv.moduleIsTorsionFreestatement and proof · cited by 0
- Equiv.linearEquiv_applystatement · cited by 0
- Equiv.linearEquiv_symm_applystatement · cited by 0
- Equiv.tensorProductAssoc_defstatement · cited by 0
- Equiv.tensorProductComm_defstatement · cited by 0
- Equiv.toLinearEquiv_continuousLinearEquivstatement · cited by 0