Theorems · Theorem · group theory
AddLocalization.liftOn_mk
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {p : Sort u} (f : M → ↥S → p)
(H : ∀ {a c : M} {b d : ↥S}, (AddLocalization.r S) (a, b) (c, d) → f a b = f c d) (a : M) (b : ↥S),
(AddLocalization.mk a b).liftOn f H = f a b- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement and proof · cited by 1,178
- AddConstatement · cited by 138
- AddLocalization.mkstatement · cited by 28
- AddLocalization.rstatement and proof · cited by 14
- AddLocalization.liftOnstatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddLocalization.liftOn_mk'proof · cited by 0