Theorems · Definition · commutative algebra
RingSeminorm.toSeminormedRing
{R : Type u_1} → [inst : Ring R] → RingSeminorm R → SeminormedRing RThe SeminormedRing structure on a ring R determined by a RingSeminorm.
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- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- SeminormedAddCommGroupproof · cited by 2,671
- SeminormedRingstatement · cited by 446
- RingSeminormstatement and proof · cited by 58
- RingSeminorm.toAddGroupSeminormproof · cited by 16
- AddGroupSeminorm.toSeminormedAddCommGroupproof · cited by 8
- SeminormedAddCommGroup.dist_eqproof · cited by 0
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