Theorems · Theorem · commutative algebra
EuclideanDomain.lt_one
∀ {R : Type u} [inst : EuclideanDomain R] (a : R), EuclideanDomain.r a 1 → a = 0- Defined in
- Mathlib.Algebra.EuclideanDomain.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EuclideanDomain
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- EuclideanDomainstatement and proof · cited by 124
- not_imp_notproof · cited by 63
- EuclideanDomain.rstatement and proof · cited by 13
- EuclideanDomain.mul_left_not_ltproof · cited by 3
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