Theorems · Theorem · real analysis
EReal.coe_inv
∀ (x : ℝ), ↑x⁻¹ = (↑x)⁻¹
- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ERealstatement · cited by 793
- Real.toERealstatement · cited by 303
Cited by11
Results whose statement or proof uses this declaration.
- EReal.inv_nonneg_of_nonnegproof · cited by 6
- EReal.inv_pos_of_pos_ne_topproof · cited by 4
- EReal.inv_negproof · cited by 2
- EReal.inv_neg_of_neg_ne_botproof · cited by 2
- EReal.inv_strictAntiOnproof · cited by 2
- EReal.inv_lt_topproof · cited by 1
- EReal.inv_nonpos_of_nonposproof · cited by 1
- EReal.mul_invproof · cited by 1
- EReal.bot_lt_invproof · cited by 0
- EReal.inv_invproof · cited by 0
- EReal.sign_mul_inv_abs'proof · cited by 0