Theorems · Theorem · group theory
IsAddUnit.vadd_left_cancel
∀ {α : Type u_5} {β : Type u_6} [inst : AddMonoid α] [inst_1 : AddAction α β] {a : α},
IsAddUnit a → ∀ {x y : β}, a +ᵥ x = a +ᵥ y ↔ x = y- Defined in
- Mathlib.Algebra.Group.Action.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddUnitsproof · cited by 325
- AddUnits.valproof · cited by 248
- IsAddUnitstatement and proof · cited by 215
- vadd_left_cancel_iffproof · cited by 7
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