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Theorems · Theorem · group theory

IsUnit.liftRight_inv_mul

∀ {M : Type u_3} {N : Type u_4} [inst : Monoid M] [inst_1 : Monoid N] (f : M →* N) (h : ∀ (x : M), IsUnit (f x))
  (x : M), ↑((IsUnit.liftRight f h) x)⁻¹ * f x = 1
Defined in
Mathlib.Algebra.Group.Units.Hom
Cited by
2 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice
Assumes
MonoidMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Submonoid.LocalizationMap.eq_of_eq · cited by 5LocalizationMap.eq_of_eqSubmonoid.LocalizationMap.lift_mul_right · cited by 2LocalizationMap.lift_mul_…DFunLike.coe · cited by 62936DFunLike.coeMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomUnits · cited by 2804UnitsUnits.val · cited by 1966Units.valIsUnit · cited by 1602IsUnitIsUnit.unit · cited by 252IsUnit.unitIsUnit.liftRight · cited by 36IsUnit.liftRightUnits.liftRight_inv_mul · cited by 1Units.liftRight_inv_mulIsUnit.liftRight_inv_mulCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.