Theorems · Theorem · functional analysis
ContinuousMap.rclikeToReal_monotone
∀ (X : Type u_1) (𝕜 : Type u_2) [inst : TopologicalSpace X] [inst_1 : RCLike 𝕜], Monotone ContinuousMap.rclikeToReal
- Defined in
- Mathlib.Analysis.RCLike.ContinuousMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceRCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- RCLikestatement and proof · cited by 2,829
- ContinuousMapstatement and proof · cited by 2,491
- Monotonestatement · cited by 1,397
- RCLike.reproof · cited by 319
- RCLike.improof · cited by 161
- RCLike.toPartialOrderstatement · cited by 106
- RCLike.le_iff_re_improof · cited by 11
- ContinuousMap.rclikeToRealstatement · cited by 6
- ContinuousMap.rclikeToReal_applyproof · cited by 3
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