Theorems · Theorem · group theory
Representation.invtSubmodule.coe_bot
∀ {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), ↑⊥ = ⊥- Defined in
- Mathlib.RepresentationTheory.Submodule
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 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
- 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
Cited by1
Results whose statement or proof uses this declaration.
- Representation.invtSubmodule.nontrivial_iffproof · cited by 0