Theorems · Theorem · ring theory
Ring.intCast_negSucc
∀ {R : Type u} [self : Ring R] (n : ℕ), IntCast.intCast (Int.negSucc n) = -↑(n + 1)The canonical homomorphism ℤ → R for negative values is just the negation of the values
of the canonical homomorphism ℕ → R.
- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Ring
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Semiring.toNatCaststatement · cited by 12
- Ring.toNegstatement · cited by 11
- Ring.toIntCaststatement · cited by 5
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