Theorems · Definition
Equiv.smul
(M : Type u_1) → {α : Type u_2} → {β : Type u_3} → α ≃ β → [SMul M β] → SMul M αTransfer SMul across an Equiv
- Defined in
- Mathlib.Algebra.Group.TransferInstance
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- Equiv.toFunproof · cited by 279
- Equiv.invFunproof · cited by 163
Cited by22
Results whose statement or proof uses this declaration.
- Equiv.addCommMonoidproof · cited by 8
- AddEquiv.moduleproof · cited by 3
- Equiv.fieldproof · cited by 2
- Equiv.addGroupproof · cited by 1
- Equiv.smul_defstatement · cited by 1
- Equiv.nonUnitalNonAssocSemiringproof · cited by 0
- Equiv.nonUnitalRingproof · cited by 0
- Equiv.nonUnitalSemiringproof · cited by 0
- Equiv.addCommGroupproof · cited by 0
- Equiv.isCentralScalarstatement · cited by 0
- Equiv.mulActionproof · cited by 0
- Equiv.addMonoidproof · cited by 0