Theorems · Theorem · nonassociative algebras
RootPairing.reflectionPerm_eq_reflectionPerm_iff
∀ {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) [P.IsRootSystem]
(i j : ι), P.reflectionPerm i = P.reflectionPerm j ↔ P.reflection i = P.reflection j- Defined in
- Mathlib.LinearAlgebra.RootSystem.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · 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
- Equivstatement · cited by 8,337
- LinearEquivstatement · cited by 3,317
- RootPairingstatement and proof · cited by 710
- RootPairing.rootproof · cited by 326
- Function.Embedding.injectiveproof · cited by 111
- Equiv.extproof · cited by 102
- RootPairing.reflectionPermstatement and proof · cited by 87
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