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Theorems · Theorem · functional analysis

isStrictlyPositive_one

∀ {A : Type u_1} [inst : LE A] [inst_1 : Monoid A] [inst_2 : Zero A] [ZeroLEOneClass A], IsStrictlyPositive 1
Defined in
Mathlib.Algebra.Algebra.StrictPositivity
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
LEMonoidZeroZeroLEOneClass
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Around this declaration

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

isStrictlyPositive_algebraMap · cited by 0isStrictlyPositive_algebr…Monoid · cited by 3887Monoidzero_le_one · cited by 316zero_le_oneZeroLEOneClass · cited by 304ZeroLEOneClassIsStrictlyPositive · cited by 75IsStrictlyPositiveisUnit_one · cited by 48isUnit_oneIsStrictlyPositive.iff_of_unital · cited by 7IsStrictlyPositive.iff_of…isStrictlyPositive_oneCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.