Mathlib Map

Theorems · Theorem · group theory

FreeAddGroup.mk_toWord

∀ {α : Type u_1} [inst : DecidableEq α] {x : FreeAddGroup α}, FreeAddGroup.mk x.toWord = x
Defined in
Mathlib.GroupTheory.FreeGroup.Reduce
Cited by
4 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FreeAddGroup.toWord_add · cited by 1FreeAddGroup.toWord_addFreeAddGroup.norm_add_le · cited by 0FreeAddGroup.norm_add_leFreeAddGroup.toWord_nsmul · cited by 0FreeAddGroup.toWord_nsmulFreeAddGroup.toWord_add_sublist · cited by 0FreeAddGroup.toWord_add_s…FreeAddGroup · cited by 90FreeAddGroupFreeAddGroup.mk · cited by 29FreeAddGroup.mkFreeAddGroup.toWord · cited by 19FreeAddGroup.toWordFreeAddGroup.reduce.self · cited by 1reduce.selfFreeAddGroup.mk_toWordCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.