Theorems · Theorem · group theory
CoxeterSystem.reindex_simple
∀ {B : Type u_1} {B' : Type u_2} (e : B ≃ B') {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B}
(cs : CoxeterSystem M W) (i' : B'), (cs.reindex e).simple i' = cs.simple (e.symm i')- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Groupstatement and proof · cited by 6,238
- Equiv.symmstatement · cited by 3,681
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement and proof · cited by 126
- CoxeterSystem.simplestatement · cited by 73
- CoxeterMatrix.reindexstatement · cited by 6
- CoxeterSystem.reindexstatement · cited by 2
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