Theorems · Definition · order theory
ENat.toENNRealOrderEmbedding
ℕ∞ ↪o ENNReal
Coercion ℕ∞ → ℝ≥0∞ as an OrderEmbedding.
- Defined in
- Mathlib.Data.Real.ENatENNReal
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- ENatstatement · cited by 4,985
- OrderEmbeddingstatement · cited by 619
- Nat.castOrderEmbeddingproof · cited by 13
- OrderEmbedding.withTopMapproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- ENat.toENNReal_monoproof · cited by 25
- ENat.toENNReal_strictMonoproof · cited by 1
- ENat.toENNReal_injproof · cited by 1
- ENat.toENNReal_leproof · cited by 0
- ENat.toENNReal_ltproof · cited by 0
- ENat.toENNRealOrderEmbedding_applystatement and proof · cited by 0