Theorems · Theorem
Multiplicative.ofAdd_image_setAdd
∀ {M : Type u_1} [inst : AddMonoid M] (s t : Set M),
⇑Multiplicative.ofAdd '' (s + t) = ⇑Multiplicative.ofAdd '' s * ⇑Multiplicative.ofAdd '' t- Defined in
- Mathlib.Algebra.Group.TypeTags.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Setstatement and proof · cited by 53,352
- Equivstatement · cited by 8,337
- Set.imagestatement and proof · cited by 5,609
- AddMonoidstatement and proof · cited by 2,864
- Multiplicativestatement and proof · cited by 875
- Set.addstatement · cited by 338
- Set.mulstatement · cited by 297
- Multiplicative.ofAddstatement and proof · cited by 237
- Set.image_image2_distribproof · cited by 12
- Set.image2_addproof · cited by 6
- Set.image2_mulproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Multiplicative.ofAdd_image_nsmulproof · cited by 0