Theorems · Definition · nonassociative algebras
NonUnitalAlgHom.range
{F : Type v'} →
{R : Type u} →
{A : Type v} →
{B : Type w} →
[inst : CommSemiring R] →
[inst_1 : NonUnitalNonAssocSemiring A] →
[inst_2 : Module R A] →
[inst_3 : NonUnitalNonAssocSemiring B] →
[inst_4 : Module R B] →
[inst_5 : FunLike F A B] → [NonUnitalAlgHomClass F R A B] → F → NonUnitalSubalgebra R BRange of an NonUnitalAlgHom as a non-unital subalgebra.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CommSemiringstatement and proof · cited by 10,911
- FunLikestatement and proof · cited by 2,560
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubalgebrastatement · cited by 215
- NonUnitalSubsemiringproof · cited by 201
- NonUnitalAlgHomClassstatement and proof · cited by 75
- NonUnitalRingHomClass.toNonUnitalRingHomproof · cited by 26
- NonUnitalRingHom.srangeproof · cited by 17
Cited by14
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgHom.rangeproof · cited by 24
- NonUnitalAlgHom.mem_rangestatement · cited by 3
- NonUnitalAlgHom.coe_rangestatement · cited by 2
- Unitization.lift_rangestatement and proof · cited by 1
- Unitization.lift_range_lestatement and proof · cited by 1
- NonUnitalAlgebra.map_topstatement and proof · cited by 0
- NonUnitalAlgebra.range_eq_topstatement · cited by 0
- NonUnitalAlgebra.range_idstatement and proof · cited by 0
- NonUnitalAlgHom.mem_range_selfstatement · cited by 0
- NonUnitalSubalgebra.range_valstatement · cited by 0
- NonUnitalAlgHom.range.congr_simpstatement and proof · cited by 0
- NonUnitalAlgHom.rangeRestrictstatement and proof · cited by 0