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Theorems · Theorem · commutative algebra

EuclideanDomain.div_one

∀ {R : Type u} [inst : EuclideanDomain R] (p : R), p / 1 = p
Defined in
Mathlib.Algebra.EuclideanDomain.Basic
Cited by
5 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
EuclideanDomain
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Around this declaration

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

RatFunc.num_zero · cited by 5RatFunc.num_zeroRatFunc.num_algebraMap · cited by 4RatFunc.num_algebraMapPolynomial.div_C · cited by 1Polynomial.div_CRatFunc.numDenom_div · cited by 1RatFunc.numDenom_divEuclideanDomain.divRadical_isUnit · cited by 1EuclideanDomain.divRadica…mul_one · cited by 3885mul_oneEuclideanDomain · cited by 124EuclideanDomainone_ne_zero' · cited by 23one_ne_zero'EuclideanDomain.eq_div_of_mul_eq_left · cited by 6EuclideanDomain.eq_div_of…EuclideanDomain.div_oneCITED BYCITES

Cites4

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

Cited by5

Results whose statement or proof uses this declaration.