Theorems · Theorem · group theory
MonoidWithZeroHom.snd_comp_inl
∀ {G₀ : Type u_1} {H₀ : Type u_2} [inst : GroupWithZero G₀] [inst_1 : GroupWithZero H₀]
[inst_2 : DecidablePred fun x => x = 0], (MonoidWithZeroHom.snd G₀ H₀).comp (MonoidWithZeroHom.inl G₀ H₀) = 1- Defined in
- Mathlib.Algebra.GroupWithZero.ProdHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- map_zeroproof · cited by 1,614
- MonoidWithZeroHomstatement · cited by 704
- GroupWithZerostatement and proof · cited by 691
- WithZerostatement · cited by 586
- MonoidHom.compproof · cited by 469
- WithZero.coeproof · cited by 186
- WithZero.map'proof · cited by 45
- Units.coeHomproof · cited by 44
- MonoidWithZeroHom.compstatement · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- MonoidWithZeroHom.snd_inl_apply_of_ne_zeroproof · cited by 0