Theorems · Theorem · group theory
Monoid.PushoutI.of_apply_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) (x : H), (Monoid.PushoutI.of i) ((φ i) x) = (Monoid.PushoutI.base φ) x- Defined in
- Mathlib.GroupTheory.PushoutI
- Cited by
- 3 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.
Cites8
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.PushoutIstatement and proof · cited by 30
- Monoid.PushoutI.ofstatement and proof · cited by 20
- Monoid.PushoutI.basestatement and proof · cited by 17
- MonoidHom.comp_applyproof · cited by 16
- Monoid.PushoutI.of_comp_eq_baseproof · cited by 3
Cited by3
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.inf_of_range_eq_base_rangeproof · cited by 0