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Theorems · Definition · group theory

FreeAddGroup.negRev

{α : Type u} → List (α × Bool) → List (α × Bool)

Transform a word representing a free group element into a word representing its negative.

Defined in
Mathlib.GroupTheory.FreeGroup.Basic
Cited by
20 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

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

FreeAddGroup.negRev_negRev · cited by 4FreeAddGroup.negRev_negRevFreeAddGroup.negRev_involutive · cited by 3FreeAddGroup.negRev_invol…FreeAddGroup.Red.negRev · cited by 2Red.negRevFreeAddGroup.neg_mk · cited by 2FreeAddGroup.neg_mkFreeAddGroup.Red.Step.negRev · cited by 2Step.negRevFreeAddGroup.toWord_neg · cited by 1FreeAddGroup.toWord_negFreeAddGroup.reduceCyclically.addConj_conjugator_reduceCyclically · cited by 1reduceCyclically.addConj_…FreeAddGroup.negRev_length · cited by 1FreeAddGroup.negRev_lengthFreeAddGroup.reduceCyclically.reduce_flatten_replicate_succ · cited by 1reduceCyclically.reduce_f…FreeAddGroup.red_negRev_iff · cited by 1FreeAddGroup.red_negRev_i…FreeAddGroup.reduce_negRev · cited by 1FreeAddGroup.reduce_negRevFreeAddGroup.negRev_append · cited by 0FreeAddGroup.negRev_appendFreeAddGroup.negRev_bijective · cited by 0FreeAddGroup.negRev_bijec…FreeAddGroup.negRev_cons · cited by 0FreeAddGroup.negRev_consFreeAddGroup.Red.step_negRev_iff · cited by 0Red.step_negRev_iffFreeAddGroup.negRevCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by20

Results whose statement or proof uses this declaration.