Theorems · Theorem · ring theory
MonoidAlgebra.opRingEquiv_symm_single
∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : Mul M] (r : Rᵐᵒᵖ) (x : Mᵐᵒᵖ),
MonoidAlgebra.opRingEquiv.symm (MonoidAlgebra.single x r) =
MulOpposite.op (MonoidAlgebra.single (MulOpposite.unop x) (MulOpposite.unop 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
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Cites25
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
- Equiv.symmproof · cited by 3,681
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- Finsupp.singleproof · cited by 943
- MonoidAlgebrastatement · cited by 590
- RingEquiv.symmstatement and proof · cited by 567
- AddEquiv.symmproof · cited by 530
- MulOpposite.opstatement and proof · cited by 520
- Finsupp.extproof · cited by 399
- MulOpposite.unopstatement and proof · cited by 268
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