Theorems · Theorem · ring theory
IsSimpleRing.isIsotypic
∀ (R : Type u) [inst : Ring R] [IsSimpleRing R] [IsArtinianRing R] (M : Type u_2) [inst_3 : AddCommGroup M] [inst_4 : Module R M], IsIsotypic R M
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- IsArtinianRingstatement and proof · cited by 98
- IsSimpleRingstatement and proof · cited by 39
- IsIsotypicstatement · cited by 15
- isSimpleRing_isArtinianRing_iffproof · cited by 1
- IsIsotypic.of_selfproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsSimpleRing.exists_algEquiv_matrix_end_mulOppositeproof · cited by 2
- IsSimpleRing.exists_ringEquiv_matrix_end_mulOppositeproof · cited by 1