Theorems · Theorem · group theory

Monoid.CoprodI.Word.equivPair_symm

∀ {ι : Type u_1} {M : ι → Type u_2} [inst : (i : ι) → Monoid (M i)] [inst_1 : DecidableEq ι]
  [inst_2 : (i : ι) → DecidableEq (M i)] (i : ι) (p : Monoid.CoprodI.Word.Pair M i),
  (Monoid.CoprodI.Word.equivPair i).symm p = Monoid.CoprodI.Word.rcons p

Defined in: Mathlib.GroupTheory.CoprodI
Cited by: 3 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Monoid DecidableEq DecidableEq

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites8

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 · cited by 8,337
Monoidstatement and proof · cited by 3,887
Equiv.symmstatement · cited by 3,681
Monoid.CoprodI.Wordstatement · cited by 55
Monoid.CoprodI.Word.Pairstatement and proof · cited by 32
Monoid.CoprodI.Word.equivPairstatement · cited by 18
Monoid.CoprodI.Word.rconsstatement · cited by 10

Cited by3

Results whose statement or proof uses this declaration.

Monoid.CoprodI.Word.prod_smulproof · cited by 1
Monoid.CoprodI.Word.equivPair_head_smul_equivPair_tailproof · cited by 1
Monoid.CoprodI.Word.equivPair_smul_sameproof · cited by 1