Theorems · Theorem · ring theory
MonoidAlgebra.mapDomainAddEquiv_trans
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} {O : Type u_8} [inst : Semiring R] [inst_1 : Mul M] [inst_2 : Mul N]
[inst_3 : Mul O] (e₁ : M ≃ N) (e₂ : N ≃ O),
MonoidAlgebra.mapDomainAddEquiv R (e₁.trans e₂) =
(MonoidAlgebra.mapDomainAddEquiv R e₁).trans (MonoidAlgebra.mapDomainAddEquiv R e₂)- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- AddEquivstatement · cited by 1,087
- MonoidAlgebrastatement and proof · cited by 590
- Finsupp.extproof · cited by 399
- Equiv.transstatement and proof · cited by 337
- MonoidAlgebra.coeffproof · cited by 224
- MonoidAlgebra.extproof · cited by 78
- AddEquiv.transstatement · cited by 53
- Finsupp.equivMapDomainproof · cited by 35
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.