Theorems · Theorem · commutative algebra
RingHom.Flat.ulift_iff
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] {f : R →+* S},
(RingHom.ulift.{u₁, u₂, u_1, u_2} f).Flat ↔ f.Flat- Defined in
- Mathlib.RingTheory.RingHom.Flat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- RingHomstatement and proof · cited by 10,189
- RingEquiv.symmproof · cited by 567
- Equiv.bijectiveproof · cited by 132
- MulEquiv.toEquivproof · cited by 126
- RingHom.Flatstatement and proof · cited by 60
- RingEquiv.toMulEquivproof · cited by 26
- RingHom.Flat.compproof · cited by 8
- RingHom.Flat.of_bijectiveproof · cited by 8
- ULift.ringEquivproof · cited by 6
- RingHom.uliftstatement and proof · cited by 5
- RingHom.Flat.comp_iff_of_bijective_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.WeaklyEtale.ulift_iffproof · cited by 1