Theorems · Theorem · field theory
SubfieldClass.nnqsmul_mem
∀ {K : Type u} [inst : DivisionRing K] {S : Type u_1} [inst_1 : SetLike S K] [h : SubfieldClass S K] {x : K} (s : S)
(q : ℚ≥0), x ∈ s → q • x ∈ s- Defined in
- Mathlib.Algebra.Field.Subfield.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement and proof · cited by 1,084
- DivisionRingstatement and proof · cited by 1,062
- NNRatstatement and proof · cited by 523
- MulMemClass.mul_memproof · cited by 173
- SubfieldClassstatement and proof · cited by 9
- NNRat.smul_defproof · cited by 7
- SubfieldClass.nnratCast_memproof · cited by 2
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