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Theorems · Theorem · order theory

WithTop.coe_min

∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), ↑(min a b) = min ↑a ↑b
Defined in
Mathlib.Order.WithBot
Cited by
3 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
LinearOrder
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Around this declaration

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

HahnSeries.min_orderTop_le_orderTop_add · cited by 2HahnSeries.min_orderTop_l…List.foldr_min_of_ne_nil · cited by 0List.foldr_min_of_ne_nilPadic.AddValuation.map_add · cited by 0AddValuation.map_addLinearOrder · cited by 8572LinearOrderWithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someWithTop.coe_minCITED BYCITES

Cites3

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Cited by3

Results whose statement or proof uses this declaration.