Theorems · Theorem · order theory
WithTop.coe_inj
∀ {α : Type u_1} {a b : α}, ↑a = ↑b ↔ a = b- Defined in
- Mathlib.Order.WithBot
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithTopstatement · cited by 3,754
- WithTop.somestatement · cited by 1,128
Cited by21
Results whose statement or proof uses this declaration.
- WithTop.coe_le_coeproof · cited by 65
- WithTop.coe_lt_coeproof · cited by 47
- WithTop.coe_lt_topproof · cited by 44
- meromorphicOrderAt_eq_int_iffproof · cited by 31
- WithTop.coe_eq_coeproof · cited by 18
- AnalyticAt.analyticOrderAt_eq_natCastproof · cited by 15
- ENat.natCast_injproof · cited by 9
- HahnSeries.orderTop_singleproof · cited by 6
- WithTop.some_eq_map_iffproof · cited by 4
- WithTop.untop_eq_iffproof · cited by 4
- WithTop.le_iff_forallproof · cited by 4
- WithTop.not_top_le_coeproof · cited by 4