Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.coe_iInf
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A] {ι : Sort u_2} {S : ι → NonUnitalSubalgebra R A},
↑(⨅ i, S i) = ⋂ i, ↑(S i)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 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.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- Set.rangeproof · cited by 4,705
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- iInfstatement · cited by 1,690
- Set.iInterstatement and proof · cited by 1,084
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubalgebrastatement and proof · cited by 215
- Set.iInter_congr_Propproof · cited by 170
Cited by3
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgebra.iInf_toNonUnitalSubalgebraproof · cited by 0
- NonUnitalAlgebra.iInf_toSubmoduleproof · cited by 0
- NonUnitalAlgebra.map_iInfproof · cited by 0