Theorems · Theorem · group theory
Monoid.PushoutI.of_comp_eq_base
∀ {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), (Monoid.PushoutI.of i).comp (φ i) = Monoid.PushoutI.base φ- Defined in
- Mathlib.GroupTheory.PushoutI
- Cited by
- 3 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.
Cites13
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
- MonoidHom.compstatement and proof · cited by 469
- MonoidHom.extproof · cited by 109
- Monoid.Coprod.inlproof · cited by 48
- Monoid.Coprod.inrproof · cited by 47
- Monoid.CoprodI.ofproof · cited by 45
- Monoid.PushoutIstatement · cited by 30
- Monoid.PushoutI.ofstatement · cited by 20
- Monoid.PushoutI.basestatement · cited by 17
- Con.eqproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Monoid.PushoutI.of_apply_eq_baseproof · cited by 3
- Monoid.PushoutI.hom_ext_nonemptyproof · cited by 1
- Monoid.PushoutI.inf_of_range_eq_base_rangeproof · cited by 0