Theorems · Theorem · group theory
MonoidWithZeroHom.fst_inr_apply_of_ne_zero
∀ {G₀ : Type u_1} {H₀ : Type u_2} [inst : GroupWithZero G₀] [inst_1 : GroupWithZero H₀]
[inst_2 : DecidablePred fun x => x = 0] {x : H₀},
x ≠ 0 → (MonoidWithZeroHom.fst G₀ H₀) ((MonoidWithZeroHom.inr G₀ H₀) x) = 1- Defined in
- Mathlib.Algebra.GroupWithZero.ProdHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
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 · cited by 2,804
- MonoidWithZeroHomstatement and proof · cited by 704
- GroupWithZerostatement and proof · cited by 691
- WithZerostatement · cited by 586
- MonoidWithZeroHom.inrstatement and proof · cited by 12
- MonoidWithZeroHom.fststatement and proof · cited by 10
- MonoidWithZeroHom.one_apply_of_ne_zeroproof · cited by 7
- MonoidWithZeroHom.comp_applyproof · cited by 3
- MonoidWithZeroHom.fst_comp_inrproof · cited by 1
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