Theorems · Definition · group theory
Monoid.PushoutI.ofCoprodI
{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} → Monoid.CoprodI G →* Monoid.PushoutI φThe map from the coproduct into the pushout
- Defined in
- Mathlib.GroupTheory.PushoutI
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Monoid.CoprodIstatement · cited by 52
- Monoid.PushoutIstatement · cited by 30
- Monoid.CoprodI.liftproof · cited by 21
- Monoid.PushoutI.ofproof · cited by 20
Cited by9
Results whose statement or proof uses this declaration.
- Monoid.PushoutI.NormalWord.prodproof · cited by 9
- Monoid.PushoutI.ofCoprodI_ofstatement · cited by 4
- Monoid.PushoutI.NormalWord.prod_emptyproof · cited by 2
- Monoid.PushoutI.NormalWord.prod_consproof · cited by 2
- Monoid.PushoutI.NormalWord.prod_summand_smulproof · cited by 1
- Monoid.PushoutI.Reduced.eq_empty_of_mem_rangestatement and proof · cited by 1
- Monoid.PushoutI.Reduced.exists_normalWord_prod_eqstatement and proof · cited by 1
- Monoid.PushoutI.NormalWord.prod_base_smulproof · cited by 1
- Monoid.PushoutI.inf_of_range_eq_base_rangeproof · cited by 0