Theorems · Theorem · real analysis
EReal.add_bot
∀ (x : EReal), x + ⊥ = ⊥
- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- ERealstatement and proof · cited by 793
- WithBot.add_botproof · cited by 20
Cited by12
Results whose statement or proof uses this declaration.
- EReal.sub_topproof · cited by 8
- ENNReal.log_mul_addproof · cited by 4
- EReal.sub_le_of_le_addproof · cited by 3
- EReal.le_sub_iff_add_leproof · cited by 2
- EReal.addLECancellable_coeproof · cited by 2
- EReal.left_distrib_of_nonneg_of_ne_topproof · cited by 2
- EReal.top_add_iff_ne_botproof · cited by 1
- EReal.toENNReal_add_leproof · cited by 0
- LinearGrowth.linearGrowthInf_le_of_eventually_leproof · cited by 0
- EReal.exp_addproof · cited by 0
- LinearGrowth.linearGrowthSup_le_of_eventually_leproof · cited by 0
- EReal.lowerSemicontinuous_addproof · cited by 0