Theorems · Theorem · field theory
Field.ratCast_def
∀ {K : Type u} [self : Field K] (q : ℚ), ↑q = ↑q.num / ↑q.denHowever Rat.cast q is defined, it must be propositionally equal to q.num / q.den.
Do not use this lemma directly. Use Rat.cast_def instead.
- Defined in
- Mathlib.Algebra.Field.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Field
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Semiring.toNatCaststatement · cited by 12
- Ring.toIntCaststatement · cited by 5
- Field.toDivstatement · cited by 3
- Field.toRatCaststatement · cited by 2
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