Theorems · Theorem · nonassociative algebras
CentroidHom.cancel_left
∀ {α : Type u_5} [inst : NonUnitalNonAssocSemiring α] {g f₁ f₂ : CentroidHom α},
Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)- Defined in
- Mathlib.Algebra.Ring.CentroidHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
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Cites6
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
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- CentroidHomstatement and proof · cited by 67
- CentroidHom.compstatement and proof · cited by 8
- CentroidHom.extproof · cited by 5
- CentroidHom.comp_applyproof · cited by 1
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