Theorems · Theorem · number theory

AbsoluteValue.LiesOver.congr_simp

∀ {K : Type u_3} {L : Type u_4} {S : Type u_5} [inst : CommRing K] [inst_1 : IsSimpleRing K] [inst_2 : CommRing L]
  [inst_3 : Algebra K L] [inst_4 : PartialOrder S] [inst_5 : Nontrivial L] [inst_6 : Semiring S]
  (w w_1 : AbsoluteValue L S), w = w_1 → ∀ (v v_1 : AbsoluteValue K S), v = v_1 → w.LiesOver v = w_1.LiesOver v_1

Defined in: Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
Cited by: 0 results in Mathlib
Foundations: Depth 12 from the axioms · uses no axioms
Assumes: CommRing IsSimpleRing CommRing Algebra PartialOrder Nontrivial Semiring

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CommRingstatement and proof · cited by 17,173
Semiringstatement and proof · cited by 13,802
Algebrastatement and proof · cited by 11,388
PartialOrderstatement and proof · cited by 6,410
Nontrivialstatement and proof · cited by 2,416
AbsoluteValuestatement and proof · cited by 363
IsSimpleRingstatement and proof · cited by 39
AbsoluteValue.LiesOverstatement and proof · cited by 2

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