Theorems · Theorem · field theory
div_neg_self
∀ {K : Type u_1} [inst : DivisionRing K] {a : K}, a ≠ 0 → a / -a = -1- Defined in
- Mathlib.Algebra.Field.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
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- DivisionRingstatement and proof · cited by 1,062
- div_selfproof · cited by 237
- div_neg_eq_neg_divproof · cited by 6
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