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Theorems · Theorem · field theory

Algebra.Transcendental.transcendental

∀ {R : Type u} {A : Type v} {inst : CommRing R} {inst_1 : Ring A} {inst_2 : Algebra R A}
  [self : Algebra.Transcendental R A], ∃ x, Transcendental R x
Defined in
Mathlib.RingTheory.Algebraic.Defs
Cited by
1 results in Mathlib
Foundations
Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Algebra.Transcendental
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Around this declaration

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

trdeg_pos · cited by 1trdeg_posCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraRing · cited by 7463RingTranscendental · cited by 91TranscendentalAlgebra.Transcendental · cited by 17Algebra.TranscendentalTranscendental.transcendentalCITED BYCITES

Cites5

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Cited by1

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