Mathlib Map

Theorems · Definition · logic and foundations

Hyperreal.coeRingHom

ℝ →+*o ℝ*

The canonical map ℝ → ℝ* as an OrderRingHom.

Defined in
Mathlib.Analysis.Real.Hyperreal
Cited by
13 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Hyperreal.infinitePos_iff · cited by 3Hyperreal.infinitePos_iffHyperreal.isSt_iff · cited by 3Hyperreal.isSt_iffHyperreal.isSt_sSup · cited by 2Hyperreal.isSt_sSupHyperreal.archimedeanClassMk_coe_nonneg · cited by 2Hyperreal.archimedeanClas…Hyperreal.infiniteNeg_iff · cited by 2Hyperreal.infiniteNeg_iffHyperreal.epsilon_lt_of_pos · cited by 1Hyperreal.epsilon_lt_of_p…Hyperreal.archimedeanClassMk_nonneg_of_tendsto · cited by 1Hyperreal.archimedeanClas…Hyperreal.stdPart_of_tendsto · cited by 1Hyperreal.stdPart_of_tend…Hyperreal.coeRingHom_toFun · cited by 1Hyperreal.coeRingHom_toFunHyperreal.st_eq_sSup · cited by 0Hyperreal.st_eq_sSupHyperreal.stdPart_coe · cited by 0Hyperreal.stdPart_coeHyperreal.archimdeanClassMk_coe · cited by 0Hyperreal.archimdeanClass…Hyperreal.epsilon_lt_of_neg · cited by 0Hyperreal.epsilon_lt_of_n…Real · cited by 25697RealHyperreal · cited by 172HyperrealOrderRingHom · cited by 132OrderRingHomHyperreal.ofReal · cited by 68Hyperreal.ofRealHyperreal.coeRingHomCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.