Theorems · Theorem · commutative algebra
MulEquiv.decompositionMonoid
∀ {α : Type u_1} {β : Type u_2} [inst : Semigroup α] [inst_1 : Semigroup β] {F : Type u_3} [inst_2 : EquivLike F α β]
[MulEquivClass F α β] (f : F) [DecompositionMonoid β], DecompositionMonoid α- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- map_mulproof · cited by 1,137
- Semigroupstatement and proof · cited by 202
- EquivLikestatement and proof · cited by 165
- EquivLike.invproof · cited by 42
- DecompositionMonoidstatement and proof · cited by 39
- MulEquivClassstatement and proof · cited by 30
- EquivLike.apply_inv_applyproof · cited by 11
- EquivLike.apply_eq_iff_eqproof · cited by 6
- DecompositionMonoid.primalproof · cited by 5
- map_dvd_iffproof · cited by 3
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