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Theorems · Theorem · order theory

WithTop.top_pos

∀ {α : Type u} [inst : Zero α] [inst_1 : LT α], 0 < ⊤
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
6 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Assumes
ZeroLT
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

hasFPowerSeriesOnBall_const · cited by 4hasFPowerSeriesOnBall_con…Set.einfsep_pos_of_finite · cited by 4Set.einfsep_pos_of_finiteNormedSpace.expSeries_radius_pos · cited by 3NormedSpace.expSeries_rad…ENat.top_pos · cited by 2ENat.top_posfinite_integral_one_add_norm · cited by 1finite_integral_one_add_n…MeasureTheory.SimpleFunc.eapprox_lt_top · cited by 1SimpleFunc.eapprox_lt_topTop.top · cited by 9680Top.topWithTop · cited by 3754WithTopWithTop.coe_lt_top · cited by 44WithTop.coe_lt_topWithTop.top_posCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.