Theorems · Theorem · order theory

Set.Icc.coe_one

∀ {R : Type u_1} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R], ↑1 = 1

Defined in: Mathlib.Algebra.Order.Interval.Set.Instances
Cited by: 1 results in Mathlib
Foundations: Depth 15 from the axioms · uses propext, Quot.sound
Assumes: Semiring PartialOrder IsOrderedRing

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

Setstatement · cited by 53,352
Semiringstatement and proof · cited by 13,802
Set.Elemstatement · cited by 7,166
PartialOrderstatement and proof · cited by 6,410
Set.Iccstatement · cited by 1,702
IsOrderedRingstatement and proof · cited by 777

Cited by1

Results whose statement or proof uses this declaration.

unitInterval.qRight_one_leftproof · cited by 0