Theorems · Theorem · number theory

NumberField.ComplexEmbedding.lift.congr_simp

∀ (K : Type u_1) [inst : Field K] {k : Type u_2} [inst_1 : Field k] [inst_2 : Algebra k K]
  [inst_3 : Algebra.IsAlgebraic k K] (φ φ_1 : k →+* ℂ),
  φ = φ_1 → NumberField.ComplexEmbedding.lift K φ = NumberField.ComplexEmbedding.lift K φ_1

Defined in: Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
Cited by: 0 results in Mathlib
Foundations: Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra Algebra.IsAlgebraic

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Algebrastatement and proof · cited by 11,388
RingHomstatement and proof · cited by 10,189
Fieldstatement and proof · cited by 7,404
Complexstatement and proof · cited by 5,565
Algebra.IsAlgebraicstatement and proof · cited by 322
NumberField.ComplexEmbedding.liftstatement and proof · cited by 5

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