Theorems · Theorem · group theory
AddSemiconjBy.addOrderOf_eq
∀ {G : Type u_1} [inst : AddGroup G] (a : G) {x y : G}, AddSemiconjBy a x y → addOrderOf x = addOrderOf y- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- addOrderOfstatement · cited by 208
- AddSemiconjBystatement and proof · cited by 56
- AddSemiconjBy.nsmul_rightproof · cited by 5
- addOrderOf_eq_addOrderOf_iffproof · cited by 3
- AddSemiconjBy.eq_zero_iffproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.