Theorems · Theorem · group theory
MonoidWithZeroHom.inr_apply_unit
∀ {G₀ : Type u_1} {H₀ : Type u_2} [inst : GroupWithZero G₀] [inst_1 : GroupWithZero H₀]
[inst_2 : DecidablePred fun x => x = 0] (x : H₀ˣ), (MonoidWithZeroHom.inr G₀ H₀) ↑x = ↑(1, x)- Defined in
- Mathlib.Algebra.GroupWithZero.ProdHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 1,966
- MonoidWithZeroHomstatement · cited by 704
- GroupWithZerostatement and proof · cited by 691
- WithZerostatement · cited by 586
- WithZero.coestatement and proof · cited by 186
- WithZero.map'proof · cited by 45
- MonoidHom.inrproof · cited by 32
- Units.mk0_valproof · cited by 19
- MonoidWithZeroHom.inrstatement · cited by 12
- WithZero.withZeroUnitsEquiv_symm_applyproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- LinearOrderedCommGroupWithZero.inr_eq_coe_inrₗproof · cited by 1