Theorems · Theorem · order theory
EReal.mul_comm
∀ (x y : EReal), x * y = y * x
- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- mul_commproof · cited by 2,262
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- EReal.recproof · cited by 57
- EReal.coe_mulproof · cited by 7
Cited by16
Results whose statement or proof uses this declaration.
- EReal.top_mul_of_posproof · cited by 7
- EReal.top_mul_of_negproof · cited by 4
- EReal.limsup_const_mul_of_nonneg_of_ne_topproof · cited by 3
- EReal.mul_pos_iffproof · cited by 2
- EReal.right_distrib_of_nonneg_of_ne_topproof · cited by 2
- EReal.div_eq_inv_mulproof · cited by 2
- EReal.bot_mul_of_negproof · cited by 2
- EReal.bot_mul_of_posproof · cited by 2
- EReal.coe_ennreal_mulproof · cited by 1
- EReal.left_distrib_of_nonnegproof · cited by 1
- EReal.abs_mulproof · cited by 0
- EReal.abs_mul_signproof · cited by 0