Theorems · Definition · group theory
MulEquiv.coprodComm
(M : Type u_1) → (N : Type u_2) → [inst : MulOneClass M] → [inst_1 : MulOneClass N] → Monoid.Coprod M N ≃* Monoid.Coprod N M
A MulEquiv version of Coprod.swap.
- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 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.
- MulEquivstatement · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- Monoid.Coprodstatement · cited by 109
- Monoid.Coprod.swapproof · cited by 25
- MonoidHom.toMulEquivproof · cited by 3
- Monoid.Coprod.swap_comp_swapproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MulEquiv.coprodComm_applystatement and proof · cited by 0
- MulEquiv.coprodComm_symm_applystatement and proof · cited by 0