Theorems · Theorem · number theory

NumberField.basisMatrix.congr_simp

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (a a_1 : K →+* ℂ),
  a = a_1 → ∀ (a_2 a_3 : K →+* ℂ), a_2 = a_3 → NumberField.basisMatrix K a a_2 = NumberField.basisMatrix K a_1 a_3

Defined in: Mathlib.NumberTheory.NumberField.EquivReindex
Cited by: 0 results in Mathlib
Foundations: Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

RingHomstatement and proof · cited by 10,189
Fieldstatement and proof · cited by 7,404
Complexstatement and proof · cited by 5,565
NumberFieldstatement and proof · cited by 653
NumberField.basisMatrixstatement and proof · cited by 9

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.