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Theorems · Theorem · field theory

NNRat.cast_ofNat

∀ {α : Type u_3} [inst : DivisionSemiring α] (n : ℕ) [inst_1 : n.AtLeastTwo], ↑(OfNat.ofNat n) = OfNat.ofNat n
Defined in
Mathlib.Data.Rat.Cast.Defs
Cited by
4 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionSemiringNat.AtLeastTwo
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NNRat.ofNat_le_cast · cited by 0NNRat.ofNat_le_castNNRat.ofNat_lt_cast · cited by 0NNRat.ofNat_lt_castNNRat.cast_lt_ofNat · cited by 0NNRat.cast_lt_ofNatNNRat.cast_le_ofNat · cited by 0NNRat.cast_le_ofNatNNRat · cited by 523NNRatNat.AtLeastTwo · cited by 405Nat.AtLeastTwoNNRat.cast · cited by 235NNRat.castDivisionSemiring · cited by 216DivisionSemiringNNRat.cast_natCast · cited by 31NNRat.cast_natCastNNRat.cast_ofNatCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.