Theorems · Theorem · ring theory
MonoidAlgebra.map_one
∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Monoid M]
(f : R →+* S), MonoidAlgebra.map (↑f) 1 = 1- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- RingHomstatement and proof · cited by 10,189
- Monoidstatement and proof · cited by 3,887
- Finsupp.singleproof · cited by 943
- map_oneproof · cited by 861
- MonoidAlgebrastatement · cited by 590
- Finsupp.extproof · cited by 399
- MonoidAlgebra.singleproof · cited by 253
- AddMonoidHomClass.toAddMonoidHomstatement and proof · cited by 232
- MonoidAlgebra.coeffproof · cited by 224
- MonoidAlgebra.extproof · cited by 78
Cited by1
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapRingHomproof · cited by 27