Theorems · Theorem · order theory
Archimedean.embedRealFun_strictMono
∀ (M : Type u_1) [inst : AddCommGroup M] [inst_1 : LinearOrder M] [IsOrderedAddMonoid M] [inst_3 : One M] [ZeroLEOneClass M] [NeZero 1] [Archimedean M], StrictMono Archimedean.embedRealFun
- Defined in
- Mathlib.Data.Real.Embedding
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- one_smulproof · cited by 1,374
- LE.le.trans_ltproof · cited by 795
- StrictMonostatement · cited by 706
- Archimedeanstatement and proof · cited by 603
- sub_add_cancelproof · cited by 344
- ZeroLEOneClassstatement and proof · cited by 304
- add_sub_cancel_rightproof · cited by 187
Cited by1
Results whose statement or proof uses this declaration.
- Archimedean.embedReal_injectiveproof · cited by 1