Theorems · Theorem · group theory
MonoidWithZeroHom.inl_mul_inr_eq_mk_of_unit
∀ {G₀ : Type u_1} {H₀ : Type u_2} [inst : GroupWithZero G₀] [inst_1 : GroupWithZero H₀]
[inst_2 : DecidablePred fun x => x = 0] [inst_3 : DecidablePred fun x => x = 0] (m : G₀ˣ) (n : H₀ˣ),
(MonoidWithZeroHom.inl G₀ H₀) ↑m * (MonoidWithZeroHom.inr G₀ H₀) ↑n = ↑(m, n)- Defined in
- Mathlib.Algebra.GroupWithZero.ProdHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · 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.inlproof · cited by 32
- MonoidHom.inrproof · cited by 32
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