Theorems · Theorem · real analysis
Real.rpow_right_inj
∀ {x y z : ℝ}, 0 < x → x ≠ 1 → (x ^ y = x ^ z ↔ y = z)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Ne.lt_or_gtproof · cited by 108
- StrictMono.injectiveproof · cited by 94
- StrictAnti.injectiveproof · cited by 12
- Real.strictAnti_rpow_of_base_lt_oneproof · cited by 3
- Real.strictMono_rpow_of_base_gt_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.eq_one_of_rpow_eqproof · cited by 1