Theorems · Theorem · group theory
PresentedMonoid.inductionOn
∀ {α₁ : Type u_2} {rels₁ : FreeMonoid α₁ → FreeMonoid α₁ → Prop} {δ : PresentedMonoid rels₁ → Prop}
(q : PresentedMonoid rels₁), (∀ (a : FreeMonoid α₁), δ ((PresentedMonoid.mk rels₁) a)) → δ q- Defined in
- Mathlib.Algebra.PresentedMonoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- FreeMonoidstatement and proof · cited by 147
- PresentedMonoidstatement and proof · cited by 10
- PresentedMonoid.mkstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- PresentedMonoid.closure_range_ofproof · cited by 1
- PresentedMonoid.surjective_mkproof · cited by 0