Theorems · Theorem · real analysis
EReal.add_lt_add_left_coe
∀ {x y : EReal}, x < y → ∀ (z : ℝ), ↑z + x < ↑z + y- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- add_commproof · cited by 1,535
- ERealstatement and proof · cited by 793
- Real.toERealstatement and proof · cited by 303
- EReal.add_lt_add_right_coeproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- EReal.add_lt_addproof · cited by 12