Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.ext_iff
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N]
{f g : S.LocalizationMap N}, f = g ↔ ∀ (x : M), f x = g x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- AddSubmonoid.LocalizationMap.extproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.LocalizationMap.of_addEquivOfAddEquiv_applyproof · cited by 1