Theorems · Definition · ring theory
IsInvariantSubring.subtypeHom
(M : Type u_1) →
[inst : Monoid M] →
{R' : Type u_2} →
[inst_1 : Ring R'] →
[inst_2 : MulSemiringAction M R'] → (U : Subring R') → [inst_3 : IsInvariantSubring M U] → ↥U →+*[M] R'The canonical inclusion from an invariant subring.
- Defined in
- Mathlib.Algebra.Ring.Action.Invariant
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomproof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Monoidstatement and proof · cited by 3,887
- Subringstatement and proof · cited by 602
- MulSemiringActionstatement and proof · cited by 423
- MonoidHom.idstatement · cited by 323
- RingHom.toMonoidHomproof · cited by 132
- OneHom.toFunproof · cited by 132
- MonoidHom.toOneHomproof · cited by 132
- MulSemiringActionHomstatement · cited by 26
- Subring.subtypeproof · cited by 22
- IsInvariantSubringstatement and proof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- IsInvariantSubring.coe_subtypeHom'statement · cited by 1
- FixedPoints.minpoly.of_eval₂proof · cited by 1
- IsInvariantSubring.coe_subtypeHomstatement · cited by 0