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Theorems · Theorem · commutative algebra

Subring.copy.congr_simp

∀ {R : Type u} [inst : NonAssocRing R] (S S_1 : Subring R) (e_S : S = S_1) (s s_1 : Set R) (e_s : s = s_1)
  (hs : s = ↑S), S.copy s hs = S_1.copy s_1 ⋯
Defined in
Mathlib.RingTheory.LocalRing.LocalSubring
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext
Assumes
NonAssocRing
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IsDedekindDomain.integer_empty · cited by 0IsDedekindDomain.integer_…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeSubring · cited by 602SubringNonAssocRing · cited by 483NonAssocRingSubring.copy · cited by 7Subring.copycopy.congr_simpCITED BYCITES

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