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Theorems · Theorem · number theory

NumberField.RingOfIntegers.mapRingEquiv_symm_apply

∀ {K : Type u_3} {L : Type u_4} [inst : Field K] [inst_1 : Field L] (e : K ≃+* L) (x : NumberField.RingOfIntegers L),
  ↑((NumberField.RingOfIntegers.mapRingEquiv e).symm x) = e.symm ↑x
Defined in
Mathlib.NumberTheory.NumberField.Basic
Cited by
0 results in Mathlib
Foundations
Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldField
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DFunLike.coe · cited by 62936DFunLike.coeField · cited by 7404FieldRingEquiv · cited by 1147RingEquivRingEquiv.symm · cited by 567RingEquiv.symmNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersNumberField.RingOfIntegers.val · cited by 74RingOfIntegers.valNumberField.RingOfIntegers.mapRingEquiv · cited by 2RingOfIntegers.mapRingEqu…RingOfIntegers.mapRingEquiv_s…CITED BYCITES

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