Theorems · Theorem · nonassociative algebras
RootPairing.reflection_sq
∀ {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) (i : ι),
P.reflection i ^ 2 = 1- Defined in
- Mathlib.LinearAlgebra.RootSystem.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearEquivstatement · cited by 3,317
- RootPairingstatement and proof · cited by 710
- RootPairing.reflectionstatement · cited by 79
- mul_eq_one_iff_eq_invproof · cited by 12
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