Theorems · Theorem · group theory
Monoid.Coprod.swap_inj
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {x y : Monoid.Coprod M N},
(Monoid.Coprod.swap M N) x = (Monoid.Coprod.swap M N) y ↔ x = y- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassMulOneClass
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
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- Monoid.Coprodstatement and proof · cited by 109
- Monoid.Coprod.swapstatement · cited by 25
- Monoid.Coprod.swap_injectiveproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.