Theorems · Theorem · group theory
Representation.invtSubmodule.bot_mem
∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : CommSemiring k] [inst_1 : Monoid G] [inst_2 : AddCommMonoid V]
[inst_3 : Module k V] (ρ : Representation k G V), ⊥ ∈ ρ.invtSubmodule- Defined in
- Mathlib.RepresentationTheory.Submodule
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- Bot.botstatement · cited by 4,720
- Monoidstatement and proof · cited by 3,887
- Representationstatement and proof · cited by 396
- Sublatticestatement · cited by 225
- Representation.invtSubmodulestatement · cited by 7
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