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Theorems · Theorem · group theory

MonoidWithZeroHom.fst_apply_coe

∀ {G₀ : Type u_1} {H₀ : Type u_2} [inst : GroupWithZero G₀] [inst_1 : GroupWithZero H₀] (x : G₀ˣ × H₀ˣ),
  (MonoidWithZeroHom.fst G₀ H₀) ↑x = ↑x.1
Defined in
Mathlib.Algebra.GroupWithZero.ProdHom
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupWithZeroGroupWithZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearOrderedCommGroupWithZero.fst_comp_inl · cited by 0LinearOrderedCommGroupWit…MonoidWithZeroHom.fst_mono · cited by 0MonoidWithZeroHom.fst_monoDFunLike.coe · cited by 62936DFunLike.coeUnits · cited by 2804UnitsUnits.val · cited by 1966Units.valMonoidWithZeroHom · cited by 704MonoidWithZeroHomGroupWithZero · cited by 691GroupWithZeroWithZero · cited by 586WithZeroWithZero.coe · cited by 186WithZero.coeMonoidWithZeroHom.fst · cited by 10MonoidWithZeroHom.fstMonoidWithZeroHom.fst_apply_c…CITED BYCITES

Cites8

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Cited by2

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