Mathlib Map

Theorems · Definition · order theory

EReal.toENNReal

EReal → ENNReal

x.toENNReal returns x if it is nonnegative, 0 otherwise.

Defined in
Mathlib.Data.EReal.Basic
Cited by
32 results in Mathlib
Foundations
Depth 109 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.

EReal.toENNReal_of_ne_top · cited by 9EReal.toENNReal_of_ne_topEReal.toENNReal_of_nonpos · cited by 5EReal.toENNReal_of_nonposEReal.continuous_toENNReal · cited by 4EReal.continuous_toENNRealEReal.recENNReal · cited by 2EReal.recENNRealmeasurable_ereal_toENNReal · cited by 2measurable_ereal_toENNRealEReal.toENNReal_coe · cited by 2EReal.toENNReal_coeEReal.toENNReal_le_toENNReal · cited by 2EReal.toENNReal_le_toENNR…EReal.toENNReal_eq_toENNReal · cited by 1EReal.toENNReal_eq_toENNR…EReal.toENNReal_eq_top_iff · cited by 1EReal.toENNReal_eq_top_iffEReal.toENNReal_eq_zero_iff · cited by 1EReal.toENNReal_eq_zero_i…EReal.toENNReal_lt_toENNReal · cited by 1EReal.toENNReal_lt_toENNR…EReal.toENNReal_mul · cited by 1EReal.toENNReal_mulEReal.toENNReal_ne_zero_iff · cited by 1EReal.toENNReal_ne_zero_i…EReal.toENNReal_top · cited by 1EReal.toENNReal_topEReal.coe_toENNReal · cited by 1EReal.coe_toENNRealENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topENNReal.ofReal · cited by 863ENNReal.ofRealEReal · cited by 793ERealEReal.toReal · cited by 45EReal.toRealEReal.toENNRealCITED BYCITES

Cites5

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

Cited by33

Results whose statement or proof uses this declaration.