Theorems · Theorem · nonassociative algebras

RootPairing.coe_top

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M]
  [inst_2 : Module R M] [inst_3 : AddCommGroup N] [inst_4 : Module R N] (P : RootPairing ι R M N), ↑⊤ = ⊤

Defined in: Mathlib.LinearAlgebra.RootSystem.Irreducible
Cited by: 0 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module AddCommGroup Module

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites8

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
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
Top.topstatement · cited by 9,680
Submodulestatement · cited by 7,192
RootPairingstatement and proof · cited by 710
Sublatticestatement · cited by 225
RootPairing.invtRootSubmodulestatement · cited by 16

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.