Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.sec_spec
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N]
{f : S.LocalizationMap N} (z : N), z + f ↑(f.sec z).2 = f (f.sec z).1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- AddSubmonoid.LocalizationMap.secstatement · cited by 20
- AddSubmonoid.LocalizationMap.surjproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- AddSubmonoid.LocalizationMap.sec_spec'proof · cited by 5
- AddSubmonoid.LocalizationMap.mk'_secproof · cited by 3