Theorems · Theorem · group theory
Monoid.PushoutI.ofCoprodI_of
∀ {ι : Type u_1} {G : ι → Type u_2} {H : Type u_3} [inst : (i : ι) → Monoid (G i)] [inst_1 : Monoid H]
{φ : (i : ι) → H →* G i} (i : ι) (g : G i), Monoid.PushoutI.ofCoprodI (Monoid.CoprodI.of g) = (Monoid.PushoutI.of i) g- Defined in
- Mathlib.GroupTheory.PushoutI
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Quot.sound
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 and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Monoid.CoprodIstatement · cited by 52
- Monoid.CoprodI.ofstatement · cited by 45
- Monoid.PushoutIstatement · cited by 30
- Monoid.PushoutI.ofstatement and proof · cited by 20
- Monoid.CoprodI.lift_ofproof · cited by 8
- Monoid.PushoutI.ofCoprodIstatement · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- Monoid.PushoutI.NormalWord.prod_consproof · cited by 2
- Monoid.PushoutI.NormalWord.prod_summand_smulproof · cited by 1
- Monoid.PushoutI.Reduced.exists_normalWord_prod_eqproof · cited by 1
- Monoid.PushoutI.inf_of_range_eq_base_rangeproof · cited by 0