Theorems · Theorem · number theory
NumberField.InfinitePlace.mult_isReal
∀ {K : Type u_1} [inst : Field K] (w : { w // w.IsReal }), (↑w).mult = 1- Cited by
- 5 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.multstatement · cited by 107
- NumberField.InfinitePlace.IsReal.mult_eq_oneproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.convexBodyLT_volumeproof · cited by 2
- NumberField.IsTotallyReal.mult_eqproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_singleproof · cited by 1
- NumberField.mixedEmbedding.convexBodySumFun_apply'proof · cited by 1
- NumberField.mixedEmbedding.convexBodyLT'_volumeproof · cited by 1