Theorems · Theorem · nonassociative algebras
RootPairing.Equiv.bijective_coweightMap
∀ {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] {ι₂ : Type u_5} {M₂ : Type u_6} {N₂ : Type u_7}
[inst_5 : AddCommGroup M₂] [inst_6 : Module R M₂] [inst_7 : AddCommGroup N₂] [inst_8 : Module R N₂]
{P : RootPairing ι R M N} {Q : RootPairing ι₂ R M₂ N₂} (self : P.Equiv Q), Function.Bijective ⇑(↑self).coweightMap- Defined in
- Mathlib.LinearAlgebra.RootSystem.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Function.Bijectivestatement · cited by 863
- RootPairingstatement and proof · cited by 710
- RootPairing.Equiv.toHomstatement · cited by 36
- RootPairing.Hom.coweightMapstatement · cited by 32
- RootPairing.Equivstatement and proof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.Equiv.coweightEquivproof · cited by 12