Theorems · Definition · group theory
Monoid.PushoutI.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) → H →* Monoid.PushoutI φThe map from the base monoid into the pushout
- Defined in
- Mathlib.GroupTheory.PushoutI
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 52 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.
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- MonoidHom.compproof · cited by 469
- Monoid.Coprod.inrproof · cited by 47
- Monoid.PushoutIstatement · cited by 30
- Con.mk'proof · cited by 22
- Monoid.PushoutI.conproof · cited by 2
Cited by20
Results whose statement or proof uses this declaration.
- Monoid.PushoutI.NormalWord.prodproof · cited by 9
- Monoid.PushoutI.of_apply_eq_basestatement and proof · cited by 3
- Monoid.PushoutI.of_comp_eq_basestatement · cited by 3
- Monoid.PushoutI.NormalWord.prod_emptyproof · cited by 2
- Monoid.PushoutI.homEquivproof · cited by 2
- Monoid.PushoutI.hom_extstatement and proof · cited by 2
- Monoid.PushoutI.NormalWord.base_smul_eq_smulstatement · cited by 2
- Monoid.PushoutI.NormalWord.consRecOnstatement and proof · cited by 1
- Monoid.PushoutI.NormalWord.prod_base_smulstatement and proof · cited by 1
- Monoid.PushoutI.NormalWord.prod_smulproof · cited by 1
- Monoid.PushoutI.NormalWord.prod_summand_smulproof · cited by 1
- Monoid.PushoutI.Reduced.eq_empty_of_mem_rangestatement and proof · cited by 1