Theorems · Theorem · commutative algebra
Subalgebra.LinearDisjoint.of_le_of_flat_left
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : Ring S] [inst_2 : Algebra R S] {A B : Subalgebra R S},
A.LinearDisjoint B →
∀ {A' B' : Subalgebra R S}, A' ≤ A → B' ≤ B → ∀ [Module.Flat R ↥A] [Module.Flat R ↥B'], A'.LinearDisjoint B'- Defined in
- Mathlib.RingTheory.LinearDisjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Subalgebrastatement and proof · cited by 1,353
- Module.Flatstatement and proof · cited by 279
- Subalgebra.LinearDisjointstatement and proof · cited by 75
- Subalgebra.LinearDisjoint.of_le_right_of_flatproof · cited by 4
- Subalgebra.LinearDisjoint.of_le_left_of_flatproof · cited by 3
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