Theorems · Theorem · field theory
RatFunc.associated_denom_inv
∀ {K : Type u} [inst : Field K] {x : RatFunc K}, x ≠ 0 → Associated x⁻¹.denom x.num- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites11
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
- Polynomialstatement and proof · cited by 5,681
- Monoidproof · cited by 3,887
- inv_invproof · cited by 494
- RatFuncstatement and proof · cited by 301
- Associatedstatement and proof · cited by 296
- inv_ne_zeroproof · cited by 99
- Associated.symmproof · cited by 87
- RatFunc.denomstatement and proof · cited by 59
- RatFunc.numstatement and proof · cited by 49
- RatFunc.associated_num_invproof · cited by 1
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