Theorems · Theorem · commutative algebra
RingHom.Flat.of_isField
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S], IsField R → ∀ (f : R →+* S), f.Flat- Defined in
- Mathlib.RingTheory.RingHom.Flat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Fieldproof · cited by 7,404
- RingHom.toAlgebraproof · cited by 337
- IsFieldstatement and proof · cited by 103
- RingHom.Flatstatement and proof · cited by 60
- RingHom.algebraMap_toAlgebraproof · cited by 31
- IsField.toFieldproof · cited by 22
- RingHom.flat_algebraMap_iffproof · cited by 4
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