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Theorems · Theorem · field theory

eq_nnratCast

∀ {F : Type u_1} {α : Type u_3} [inst : DivisionSemiring α] [inst_1 : FunLike F ℚ≥0 α] [RingHomClass F ℚ≥0 α] (f : F)
  (q : ℚ≥0), f q = ↑q
Defined in
Mathlib.Data.Rat.Cast.Defs
Cited by
3 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionSemiringFunLikeRingHomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Complex.re_expect · cited by 1Complex.re_expectRat.addSubmonoid_closure_range_pow · cited by 1Rat.addSubmonoid_closure_…Complex.im_expect · cited by 1Complex.im_expectDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeNNRat · cited by 523NNRatNNRat.cast · cited by 235NNRat.castDivisionSemiring · cited by 216DivisionSemiringRingHomClass · cited by 193RingHomClassmap_nnratCast · cited by 5map_nnratCastNNRat.cast_id · cited by 1NNRat.cast_ideq_nnratCastCITED BYCITES

Cites8

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

Cited by3

Results whose statement or proof uses this declaration.