Theorems · Theorem · algebraic geometry

Subalgebra.saturation.congr_simp

∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S]
  (s s_1 : Subalgebra R S) (e_s : s = s_1) (M M_1 : Submonoid S) (e_M : M = M_1) (H : M ≤ s.toSubmonoid),
  s.saturation M H = s_1.saturation M_1 ⋯

Defined in: Mathlib.RingTheory.ZariskisMainTheorem
Cited by: 0 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Quot.sound
Assumes: CommSemiring CommSemiring Algebra

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites7

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
CommSemiringstatement and proof · cited by 10,911
Submonoidstatement and proof · cited by 3,086
Subalgebrastatement and proof · cited by 1,353
Subsemiring.toSubmonoidstatement and proof · cited by 153
Subalgebra.toSubsemiringstatement and proof · cited by 115
Subalgebra.saturationstatement and proof · cited by 9

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.