Theorems · Theorem · real analysis
EReal.sub_top
∀ (x : EReal), x - ⊤ = ⊥
- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 103 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.
- Top.topstatement · cited by 9,680
- Bot.botstatement · cited by 4,720
- ERealstatement and proof · cited by 793
- EReal.add_botproof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- EReal.sub_le_of_le_addproof · cited by 3
- EReal.le_sub_iff_add_leproof · cited by 2
- EReal.sub_nonposproof · cited by 1
- EReal.sub_posproof · cited by 1
- EReal.sub_nonnegproof · cited by 0
- EReal.sub_negproof · cited by 0
- EReal.sub_self_le_zeroproof · cited by 0
- EReal.toENNReal_subproof · cited by 0