Theorems · Theorem · ring theory
MonoidAlgebra.mapDomain_one
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : One M] [inst_2 : One N] {F : Type u_9}
[inst_3 : FunLike F M N] [OneHomClass F M N] (f : F), MonoidAlgebra.mapDomain (⇑f) 1 = 1- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- FunLikestatement and proof · cited by 2,560
- map_oneproof · cited by 861
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singleproof · cited by 253
- OneHomClassstatement and proof · cited by 38
- MonoidAlgebra.mapDomainstatement · cited by 15
- MonoidAlgebra.mapDomain_singleproof · cited by 12
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