Theorems · Theorem · ring theory
MonoidAlgebra.curryAddEquiv_symm_single
∀ {R : Type u_1} {M : Type u_4} {N : Type u_5} [inst : Semiring R] [inst_1 : Monoid M] [inst_2 : Monoid N] (m : M)
(n : N) (r : R),
MonoidAlgebra.curryAddEquiv.symm (MonoidAlgebra.single m (MonoidAlgebra.single n r)) = MonoidAlgebra.single (m, n) r- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 1 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.
Cites18
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
- Monoidstatement and proof · cited by 3,887
- AddEquivstatement · cited by 1,087
- Finsupp.singleproof · cited by 943
- MonoidAlgebrastatement · cited by 590
- AddEquiv.symmstatement and proof · cited by 530
- MonoidAlgebra.singlestatement and proof · cited by 253
- Finsupp.mapRange_singleproof · cited by 53
- Finsupp.mapRange.addEquivproof · cited by 15
- MonoidAlgebra.coeffAddEquivproof · cited by 11
- Finsupp.curryAddEquivproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- MonoidAlgebra.curryRingEquiv_symm_singleproof · cited by 2