Theorems · Theorem · group theory
AddMonoid.Coprod.swap_surjective
∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
Function.Surjective ⇑(AddMonoid.Coprod.swap M N)- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
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 · cited by 62,936
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddMonoid.Coprodstatement · cited by 104
- AddMonoid.Coprod.swapstatement · cited by 25
- Function.LeftInverse.surjectiveproof · cited by 22
- AddMonoid.Coprod.swap_swapproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.swap_bijectiveproof · cited by 0
- AddMonoid.Coprod.range_swapproof · cited by 0
- AddMonoid.Coprod.mrange_swapproof · cited by 0