Theorems · Theorem · group theory
FreeAddSemigroup.lift_symm_apply
∀ {α : Type u} {β : Type v} [inst : AddSemigroup β] (f : FreeAddSemigroup α →ₙ+ β) (a : α),
FreeAddSemigroup.lift.symm f a = (⇑f ∘ FreeAddSemigroup.of) a- Defined in
- Mathlib.Algebra.Free
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- AddSemigroup
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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
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- AddHomstatement and proof · cited by 294
- AddSemigroupstatement and proof · cited by 136
- FreeAddSemigroupstatement and proof · cited by 43
- FreeAddSemigroup.ofstatement · cited by 20
- FreeAddSemigroup.liftstatement and proof · cited by 8
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