Theorems · Theorem · group theory
smul_left_cancel
∀ {α : Type u_5} {β : Type u_6} [inst : Group α] [inst_1 : MulAction α β] (g : α) {x y : β}, g • x = g • y → x = y- Defined in
- Mathlib.Algebra.Group.Action.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- MulAction.injectiveproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- sdiv_right_cancelproof · cited by 2