Theorems · Theorem · real analysis
EReal.sign_eq_and_abs_eq_iff_eq
∀ {x y : EReal}, x.abs = y.abs ∧ SignType.sign x = SignType.sign y ↔ x = y- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- ENNRealstatement and proof · cited by 9,879
- OrderHomstatement · cited by 934
- ERealstatement and proof · cited by 793
- SignTypestatement and proof · cited by 318
- SignType.signstatement and proof · cited by 128
- SignType.castproof · cited by 76
- ENNReal.toERealproof · cited by 56
- EReal.absstatement and proof · cited by 15
- EReal.sign_mul_absproof · cited by 3
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