Mathlib Map

Theorems · Theorem · ring theory

NonAssocSemiring.natCast_zero

∀ {α : Type u} [self : NonAssocSemiring α], ↑0 = 0

The canonical map ℕ → R sends 0 : ℕ to 0 : R.

Defined in
Mathlib.Algebra.Ring.Defs
Cited by
0 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
NonAssocSemiring
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Around this declaration

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

Function.Surjective.semiring · cited by 0Surjective.semiringFunction.Injective.nonAssocRing · cited by 0Injective.nonAssocRingFunction.Surjective.nonAssocRing · cited by 0Surjective.nonAssocRingFunction.Injective.semiring · cited by 0Injective.semiringNonAssocSemiring · cited by 805NonAssocSemiringAddMonoid.toZero · cited by 325AddMonoid.toZeroNonAssocSemiring.toNatCast · cited by 3NonAssocSemiring.toNatCastNonAssocSemiring.natCast_zeroCITED BYCITES

Cites3

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Cited by4

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