Theorems · Theorem · commutative algebra
Algebra.discr.congr_simp
∀ {ι : Type w} {inst : DecidableEq ι} [inst_1 : DecidableEq ι] (A : Type u) {B : Type v} [inst_2 : CommRing A]
[inst_3 : CommRing B] [inst_4 : Algebra A B] [inst_5 : Fintype ι] (b b_1 : ι → B),
b = b_1 → Algebra.discr A b = Algebra.discr A b_1- Defined in
- Mathlib.RingTheory.Discriminant
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fintypestatement and proof · cited by 7,736
- Algebra.discrstatement and proof · cited by 38
Cited by3
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.discr_prime_powproof · cited by 3
- Algebra.discr_mul_isIntegral_mem_adjoinproof · cited by 1
- IsCyclotomicExtension.discr_prime_pow_ne_two'proof · cited by 0