Theorems · Definition · ring theory
MonoidAlgebra.opRingEquiv
{R : Type u_1} →
{M : Type u_2} → [inst : Semiring R] → [inst_1 : Mul M] → (MonoidAlgebra R M)ᵐᵒᵖ ≃+* MonoidAlgebra Rᵐᵒᵖ MᵐᵒᵖThe opposite of a monoid algebra is equivalent as a ring to the opposite monoid algebra over the opposite ring.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Opposite
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- AddEquivproof · cited by 1,087
- MonoidAlgebrastatement and proof · cited by 590
- AddEquiv.symmproof · cited by 530
- AddEquiv.toEquivproof · cited by 174
- AddEquiv.transproof · cited by 53
- MulOpposite.opAddEquivproof · cited by 25
- MulOpposite.opEquivproof · cited by 24
- MonoidAlgebra.mapAddEquivproof · cited by 12
- MonoidAlgebra.mapDomainAddEquivproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- MonoidAlgebra.opRingEquiv_applystatement and proof · cited by 1
- MonoidAlgebra.opRingEquiv_symm_applystatement and proof · cited by 1
- MonoidAlgebra.opRingEquiv_singlestatement · cited by 0
- MonoidAlgebra.opRingEquiv_symm_singlestatement and proof · cited by 0