Theorems · Theorem · field theory

AlgebraicIndependent.matroid.congr_simp

∀ (R : Type u_1) (A : Type w) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A]
  [inst_3 : FaithfulSMul R A] [inst_4 : NoZeroDivisors A],
  AlgebraicIndependent.matroid R A = AlgebraicIndependent.matroid R A

Defined in: Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis
Cited by: 0 results in Mathlib
Foundations: Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra FaithfulSMul NoZeroDivisors

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CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
Matroidstatement · cited by 1,258
NoZeroDivisorsstatement and proof · cited by 545
FaithfulSMulstatement and proof · cited by 340
AlgebraicIndependent.matroidstatement and proof · cited by 17

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