Theorems · Theorem · commutative algebra
Algebra.isReduced_of_isGeometricallyReduced
∀ (k : Type u_1) {A : Type u_2} [inst : Field k] [inst_1 : Ring A] [inst_2 : Algebra k A]
[Algebra.IsGeometricallyReduced k A], IsReduced A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- RingHom.injectiveproof · cited by 187
- Algebra.TensorProduct.includeRightproof · cited by 165
- IsReducedstatement · cited by 98
- AlgebraicClosureproof · cited by 53
- isReduced_of_injectiveproof · cited by 7
- Algebra.IsGeometricallyReducedstatement and proof · cited by 5
- Algebra.TensorProduct.includeRight_injectiveproof · cited by 4
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