Theorems · Theorem · real analysis
ENNReal.cancel_of_ne
∀ {a : ENNReal}, a ≠ ⊤ → AddLECancellable aThis lemma has an abbreviated name because it is used frequently.
- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- AddLECancellablestatement · cited by 87
- ENNReal.addLECancellable_iff_neproof · cited by 1
Cited by23
Results whose statement or proof uses this declaration.
- ENNReal.sub_lt_selfproof · cited by 10
- ENNReal.sub_mulproof · cited by 8
- ENNReal.eq_sub_of_add_eqproof · cited by 6
- ENNReal.add_right_injproof · cited by 5
- ENNReal.sub_sub_cancelproof · cited by 4
- ENNReal.le_sub_of_add_le_leftproof · cited by 4
- MeasureTheory.ae_eq_of_ae_le_of_lintegral_leproof · cited by 3
- ENNReal.sub_le_sub_iff_leftproof · cited by 3
- ENNReal.add_left_injproof · cited by 2
- ENNReal.lt_add_of_sub_lt_leftproof · cited by 2
- ENNReal.sub_eq_of_eq_addproof · cited by 2
- ENNReal.le_sub_of_add_le_rightproof · cited by 2