Theorems · Theorem · group theory
Units.mk0_one
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] (h : optParam (1 ≠ 0) ⋯), Units.mk0 1 h = 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement · cited by 2,804
- Units.valproof · cited by 1,966
- one_ne_zerostatement · cited by 885
- GroupWithZerostatement and proof · cited by 691
- Units.mk0statement and proof · cited by 181
- Units.extproof · cited by 86
Cited by4
Results whose statement or proof uses this declaration.
- ValuativeRel.ValueGroupWithZero.embed_strictMonoproof · cited by 4
- Units.mk0_prodproof · cited by 2
- Valuation.nonempty_rankOne_iff_mulArchimedeanproof · cited by 1
- Valuation.restrict_eq_mkproof · cited by 1