Mathlib Map

Theorems · Theorem · group theory

FreeMonoid.recOn_one

∀ {α : Type u_1} {motive : FreeMonoid α → Sort u_6} (one : motive 1)
  (of_mul : (x : α) → (xs : FreeMonoid α) → motive xs → motive (FreeMonoid.of x * xs)),
  FreeMonoid.recOn 1 one of_mul = one
Defined in
Mathlib.Algebra.FreeMonoid.Basic
Cited by
0 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FreeMonoid · cited by 147FreeMonoidFreeMonoid.of · cited by 69FreeMonoid.ofFreeMonoid.recOn · cited by 7FreeMonoid.recOnFreeMonoid.recOn_oneCITED BYCITES

Cites3

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.