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Theorems · Theorem · ring theory

NonAssocSemiring.natCast_succ

∀ {α : Type u} [self : NonAssocSemiring α] (n : ℕ), ↑(n + 1) = ↑n + 1

The canonical map ℕ → R is a homomorphism.

Defined in
Mathlib.Algebra.Ring.Defs
Cited by
0 results in Mathlib
Foundations
Depth 8 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 805NonAssocSemiringNonAssocSemiring.toNatCast · cited by 3NonAssocSemiring.toNatCastNonAssocSemiring.toOne · cited by 3NonAssocSemiring.toOneNonAssocSemiring.natCast_succCITED BYCITES

Cites3

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Cited by4

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