Theorems · Theorem · ring theory
Units.val_eq_neg_one
∀ {α : Type u} [inst : Monoid α] [inst_1 : HasDistribNeg α] {a : αˣ}, ↑a = -1 ↔ a = -1- Defined in
- Mathlib.Algebra.Ring.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- MonoidHasDistribNeg
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- HasDistribNegstatement and proof · cited by 114
- Units.val_injproof · cited by 20
- Units.coe_neg_oneproof · cited by 4
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