Theorems · Definition
Equiv.semiring
{α : Type u_1} → {β : Type u_2} → α ≃ β → [Semiring β] → Semiring αTransfer Semiring across an Equiv
- Defined in
- Mathlib.Algebra.Ring.TransferInstance
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Equivstatement and proof · cited by 8,337
- Equiv.injectiveproof · cited by 464
- AddMonoidWithOneproof · cited by 313
- Equiv.mulproof · cited by 8
- Equiv.powproof · cited by 1
- Equiv.addMonoidWithOneproof · cited by 0
- Function.Injective.semiringproof · cited by 0
Cited by6
Results whose statement or proof uses this declaration.
- Equiv.algebrastatement · cited by 4
- Equiv.algEquivstatement and proof · cited by 2
- Equiv.isDomainstatement · cited by 0
- Equiv.algEquiv_applystatement · cited by 0
- Equiv.algEquiv_symm_applystatement · cited by 0
- Equiv.algebraMap_defstatement · cited by 0