Theorems · Theorem · order theory
Archimedean.embedRealFun_add
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [IsOrderedAddMonoid M] [inst_3 : One M]
[ZeroLEOneClass M] [NeZero 1] [Archimedean M] (x y : M),
Archimedean.embedRealFun (x + y) = Archimedean.embedRealFun x + Archimedean.embedRealFun y- Defined in
- Mathlib.Data.Real.Embedding
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- SupSet.sSupproof · cited by 954
- Archimedeanstatement and proof · cited by 603
- ZeroLEOneClassstatement and proof · cited by 304
- Archimedean.ratLt'proof · cited by 5
- Archimedean.ratLt'_bddAboveproof · cited by 4
- Archimedean.embedRealFunstatement and proof · cited by 4
- Archimedean.ratLt'_nonemptyproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Archimedean.embedRealproof · cited by 4
- Archimedean.embedRealFun_strictMonoproof · cited by 1