Theorems · Theorem · group theory
Monoid.CoprodI.range_eq_iSup
∀ {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), (Monoid.CoprodI.lift f).range = ⨆ i, (f i).range- Defined in
- Mathlib.GroupTheory.CoprodI
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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 · cited by 3,593
- iSupstatement · cited by 2,415
- le_antisymmproof · cited by 2,068
- MonoidHom.rangestatement and proof · cited by 314
- le_iSupproof · cited by 207
- iSup_leproof · cited by 190
- Monoid.CoprodIstatement · cited by 52
- Monoid.CoprodI.ofproof · cited by 45
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