Theorems · Definition · commutative algebra
normFromConst
{K : Type u_1} → [inst : Field K] → {k : K} → {g : RingSeminorm K} → g 1 ≤ 1 → g k ≠ 0 → IsPowMul ⇑g → RingNorm KIf K is a field, the function seminormFromConst is a RingNorm on K.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 169 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- RingSeminormstatement and proof · cited by 58
- IsPowMulstatement and proof · cited by 39
- RingNormstatement · cited by 16
- seminormFromConstproof · cited by 2
- RingSeminorm.toRingNormproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- algNormFromConstproof · cited by 2
- seminormFromConstRingNormOfField_defstatement · cited by 0