Theorems · Theorem · group theory
Subrepresentation.coe_sup
∀ {A : Type u_1} {G : Type u_2} {W : Type u_3} [inst : Semiring A] [inst_1 : Monoid G] [inst_2 : AddCommMonoid W]
[inst_3 : Module A W] {ρ : Representation A G W} (ρ₁ ρ₂ : Subrepresentation ρ), ↑(ρ₁ ⊔ ρ₂) = ↑ρ₁ + ↑ρ₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Representationstatement and proof · cited by 396
- Set.addstatement · cited by 338
- Subrepresentationstatement and proof · cited by 23
- Subrepresentation.toSubmoduleproof · cited by 9
- Submodule.coe_supproof · cited by 3
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