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Theorems · Theorem · commutative algebra

AddCommGroupWithOne.intCast_ofNat

∀ {R : Type u} [self : AddCommGroupWithOne R] (n : ℕ), IntCast.intCast ↑n = ↑n

The canonical homomorphism ℤ → R agrees with the one from ℕ → R on ℕ.

Defined in
Mathlib.Data.Int.Cast.Defs
Cited by
0 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
AddCommGroupWithOne
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Function.Injective.nonAssocRing · cited by 0Injective.nonAssocRingFunction.Surjective.nonAssocRing · cited by 0Surjective.nonAssocRingAddCommGroupWithOne · cited by 61AddCommGroupWithOneAddCommGroupWithOne.toNatCast · cited by 5AddCommGroupWithOne.toNat…AddCommGroupWithOne.toIntCast · cited by 3AddCommGroupWithOne.toInt…AddCommGroupWithOne.intCast_o…CITED BYCITES

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