Theorems · Theorem · group theory
Monoid.Coprod.range_lift
∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] {K : Type u_3} [inst_2 : Group K] (f : G →* K)
(g : H →* K), (Monoid.Coprod.lift f g).range = f.range ⊔ g.range- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- MonoidHom.rangestatement and proof · cited by 314
- Monoid.Coprodstatement · cited by 109
- Monoid.Coprod.liftstatement and proof · cited by 13
- Monoid.Coprod.range_eqproof · cited by 1
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