Theorems · Theorem · group theory
Algebra.GrothendieckGroup.mk_div_mk
∀ {M : Type u_1} [inst : CommMonoid M] (m₁ m₂ : M) (s₁ s₂ : ↥⊤),
Localization.mk m₁ s₁ / Localization.mk m₂ s₂ = Localization.mk (m₁ * ↑s₂) ⟨↑s₁ * m₂, ⋯⟩- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Submonoidstatement · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- div_eq_mul_invproof · cited by 715
- Localizationstatement · cited by 270
- Localization.mkstatement and proof · cited by 110
- Localization.mk_mulproof · cited by 12
- Submonoid.mem_topstatement and proof · cited by 11
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