Theorems · Theorem · field theory
ConjRootClass.exists_mem_carrier_add_eq_zero
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (x y : ConjRootClass K L),
(∃ a ∈ x.carrier, ∃ b ∈ y.carrier, a + b = 0) ↔ x = -y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- neg_add_cancelproof · cited by 256
- add_eq_zero_iff_eq_negproof · cited by 49
- IsConjRootproof · cited by 43
- ConjRootClassstatement and proof · cited by 23
- ConjRootClass.mkproof · cited by 13
- ConjRootClass.carrierstatement · cited by 9
- ConjRootClass.indproof · cited by 8
- ConjRootClass.mk_eq_mkproof · cited by 2
- ConjRootClass.mk_negproof · cited by 1
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