Mathlib Map

Theorems · Theorem · order theory

WithBot.coe_strictMono

∀ {α : Type u_1} [inst : Preorder α], StrictMono fun a => ↑a
Defined in
Mathlib.Order.WithBot
Cited by
6 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
Preorder
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Around this declaration

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

EReal.coe_strictMono · cited by 6EReal.coe_strictMonoWithBot.strictMono_iff · cited by 2WithBot.strictMono_iffWithBot.isEmbedding_coe · cited by 2WithBot.isEmbedding_coeOrder.height_coe_withBot · cited by 1Order.height_coe_withBotWithBotTop.coe_strictMono · cited by 0WithBotTop.coe_strictMonoWithBot.isOpenEmbedding_some · cited by 0WithBot.isOpenEmbedding_s…Preorder · cited by 7952PreorderWithBot · cited by 1498WithBotStrictMono · cited by 706StrictMonoWithBot.some · cited by 541WithBot.someWithBot.coe_lt_coe · cited by 55WithBot.coe_lt_coeWithBot.coe_strictMonoCITED BYCITES

Cites5

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

Cited by6

Results whose statement or proof uses this declaration.