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Theorems · Theorem · order theory

WithTop.some_eq_map_iff

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {y : β} {v : WithTop α}, ↑y = WithTop.map f v ↔ ∃ x, v = ↑x ∧ f x = y
Defined in
Mathlib.Order.WithBot
Cited by
4 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

WithTop.natCast_eq_map_iff · cited by 0WithTop.natCast_eq_map_iffWithTop.one_eq_map_iff · cited by 0WithTop.one_eq_map_iffWithTop.zero_eq_map_iff · cited by 0WithTop.zero_eq_map_iffWithTop.ofNat_eq_map_iff · cited by 0WithTop.ofNat_eq_map_iffTop.top · cited by 9680Top.topWithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someWithTop.recTopCoe · cited by 107WithTop.recTopCoeWithTop.map · cited by 68WithTop.mapWithTop.coe_inj · cited by 21WithTop.coe_injWithTop.top_ne_coe · cited by 15WithTop.top_ne_coeWithTop.some_eq_map_iffCITED BYCITES

Cites7

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Cited by4

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