Theorems · Theorem · group theory
WithZero.withZeroUnitsEquiv_apply
∀ {G : Type u_4} [inst : GroupWithZero G] [inst_1 : DecidablePred fun a => a = 0] (n : WithZero Gˣ),
WithZero.withZeroUnitsEquiv n = WithZero.recZeroCoe 0 Units.val n- Defined in
- Mathlib.Algebra.GroupWithZero.WithZero
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZeroDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- MulEquivstatement · cited by 1,142
- GroupWithZerostatement and proof · cited by 691
- WithZerostatement and proof · cited by 586
- WithZero.recZeroCoestatement · cited by 29
- WithZero.withZeroUnitsEquivstatement and proof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- WithZero.withZeroUnitsEquiv_strictMonoproof · cited by 0