Theorems · Theorem · commutative algebra
RingHom.IsStandardOpenImmersion.id
∀ (R : Type u_1) [inst : CommRing R], (RingHom.id R).IsStandardOpenImmersion
The identity map of a ring is a standard open immersion.
- Defined in
- Mathlib.RingTheory.RingHom.OpenImmersion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Function.bijective_idproof · cited by 36
- RingHom.IsStandardOpenImmersionstatement · cited by 12
- RingHom.IsStandardOpenImmersion.of_bijectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.IsStandardOpenImmersion.containsIdentitiesproof · cited by 0