Theorems · Theorem · real analysis
EReal.add_lt_add_right_coe
∀ {x y : EReal}, x < y → ∀ (z : ℝ), x + ↑z < y + ↑z- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 793
- not_leproof · cited by 328
- LT.lt.not_geproof · cited by 305
- Real.toERealstatement · cited by 303
- AddLECancellable.add_le_add_iff_rightproof · cited by 4
- EReal.addLECancellable_coeproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- EReal.add_lt_add_left_coeproof · cited by 1
- EReal.add_lt_add_of_lt_of_le'proof · cited by 1