Theorems · Theorem · group theory
Monoid.PushoutI.homEquiv_symm_apply
∀ {ι : Type u_1} {G : ι → Type u_2} {H : Type u_3} {K : Type u_4} [inst : Monoid K] [inst_1 : (i : ι) → Monoid (G i)]
[inst_2 : Monoid H] {φ : (i : ι) → H →* G i} (f : { f // ∀ (i : ι), (f.1 i).comp (φ i) = f.2 }),
Monoid.PushoutI.homEquiv.symm f = Monoid.PushoutI.lift (↑f).1 (↑f).2 ⋯- Defined in
- Mathlib.GroupTheory.PushoutI
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Monoidstatement and proof · cited by 3,887
- Equiv.symmstatement and proof · cited by 3,681
- MonoidHomstatement and proof · cited by 3,629
- MonoidHom.compstatement and proof · cited by 469
- Monoid.PushoutIstatement · cited by 30
- Monoid.PushoutI.liftstatement · cited by 4
- Monoid.PushoutI.homEquivstatement and proof · cited by 2
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