Theorems · Theorem · group theory
Monoid.CoprodI.lift_range_le
∀ {ι : Type u_1} (G : ι → Type u_4) [inst : (i : ι) → Group (G i)] {N : Type u_5} [inst_1 : Group N]
(f : (i : ι) → G i →* N) {s : Subgroup N}, (∀ (i : ι), (f i).range ≤ s) → (Monoid.CoprodI.lift f).range ≤ s- Defined in
- Mathlib.GroupTheory.CoprodI
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- map_mulproof · cited by 1,137
- Set.mem_range_selfproof · cited by 328
- MonoidHom.rangestatement and proof · cited by 314
- Monoid.CoprodIstatement and proof · cited by 52
- Subgroup.one_memproof · cited by 31
- Subgroup.mul_memproof · cited by 30
- Monoid.CoprodI.liftstatement and proof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.CoprodI.range_eq_iSupproof · cited by 0