Theorems · Theorem · functional analysis
Set.InvOn.one_sub_one_add_inv
Set.InvOn (fun x => 1 - (1 + x)⁻¹) (fun x => x * (1 - x)⁻¹) {x | x < 1} {x | x < 1}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement and proof · cited by 6,101
- NNRealstatement and proof · cited by 4,310
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- mul_assocproof · cited by 1,667
- one_ne_zeroproof · cited by 885
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- zero_leproof · cited by 382
- mul_inv_cancel₀proof · cited by 210
Cited by1
Results whose statement or proof uses this declaration.
- CStarAlgebra.directedOn_nonneg_ballproof · cited by 1