Theorems · Theorem · commutative algebra
Submodule.mapHom_id
∀ {R : Type u} [inst : CommSemiring R] {A : Type v} [inst_1 : Semiring A] [inst_2 : Algebra R A],
Submodule.mapHom (AlgHom.id R A) = RingHom.id (Submodule R A)- Defined in
- Mathlib.Algebra.Algebra.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Submodulestatement · cited by 7,192
- RingHom.extproof · cited by 331
- AlgHom.idstatement · cited by 196
- Submodule.map_idproof · cited by 14
- Submodule.mapHomstatement · cited by 3
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