Theorems · Theorem · ring theory
RingHom.cancel_right
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β}
{x_2 : NonAssocSemiring γ} {g₁ g₂ : β →+* γ} {f : α →+* β}, Function.Surjective ⇑f → (g₁.comp f = g₂.comp f ↔ g₁ = g₂)- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, 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.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement and proof · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- RingHom.extproof · cited by 331
- Function.Surjective.forallproof · cited by 214
- RingHom.ext_iffproof · cited by 16
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