Theorems · Theorem · group theory
FreeAddSemigroup.toFreeAddMonoid_ne_zero
∀ {α : Type u_1} (x : FreeAddSemigroup α), FreeAddSemigroup.toFreeAddMonoid x ≠ 0- Defined in
- Mathlib.Algebra.FreeMonoid.FreeSemigroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- map_addproof · cited by 964
- AddHomstatement · cited by 294
- FreeAddMonoidstatement · cited by 145
- FreeAddSemigroupstatement and proof · cited by 43
- FreeAddSemigroup.ofproof · cited by 20
- FreeAddSemigroup.toFreeAddMonoidstatement and proof · cited by 7
- AddLeftCancelMonoid.add_eq_zeroproof · cited by 4
- FreeAddSemigroup.recOnAddproof · cited by 3
- FreeAddMonoid.of_ne_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FreeAddSemigroup.eq_zero_or_toFreeAddMonoidproof · cited by 0