Theorems · Theorem · group theory
Monoid.Coprod.mk_eq_mk
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {w₁ w₂ : FreeMonoid (M ⊕ N)},
Monoid.Coprod.mk w₁ = Monoid.Coprod.mk w₂ ↔ (Monoid.coprodCon M N) w₁ w₂- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- Constatement · cited by 152
- FreeMonoidstatement and proof · cited by 147
- Monoid.Coprodstatement · cited by 109
- Monoid.Coprod.mkstatement · cited by 16
- Con.eqproof · cited by 9
- Monoid.coprodConstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.Coprod.con_inv_mul_cancelproof · cited by 0