Theorems · Theorem · ring theory
MonoidAlgebra.opRingEquiv_single
∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : Mul M] (r : R) (x : M),
MonoidAlgebra.opRingEquiv (MulOpposite.op (MonoidAlgebra.single x r)) =
MonoidAlgebra.single (MulOpposite.op x) (MulOpposite.op r)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Opposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- Finsupp.singleproof · cited by 943
- MonoidAlgebrastatement · cited by 590
- MulOpposite.opstatement and proof · cited by 520
- Finsupp.extproof · cited by 399
- MonoidAlgebra.singlestatement and proof · cited by 253
- MonoidAlgebra.coeffproof · cited by 224
- MonoidAlgebra.extproof · cited by 78
- MulOpposite.opAddEquivproof · cited by 25
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.