Theorems · Theorem · group theory
Units.mulLeft_bijective
∀ {M : Type u_3} [inst : Monoid M] (a : Mˣ), Function.Bijective fun x => ↑a * x- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- Function.Bijectivestatement · cited by 863
- Equiv.bijectiveproof · cited by 132
- Units.mulLeftproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- MulChar.sum_eq_zero_of_ne_oneproof · cited by 9
- gaussSum_mulShiftproof · cited by 5