Theorems · Theorem · order theory
WithTop.coe_strictMono
∀ {α : Type u_1} [inst : Preorder α], StrictMono fun a => ↑a- Defined in
- Mathlib.Order.WithBot
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- WithTopstatement · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- StrictMonostatement · cited by 706
- WithTop.coe_lt_coeproof · cited by 47
Cited by8
Results whose statement or proof uses this declaration.
- EReal.coe_strictMonoproof · cited by 6
- WithTop.strictMono_iffproof · cited by 4
- Order.height_coe_withTopproof · cited by 3
- lt_emultiplicity_of_lt_multiplicityproof · cited by 2
- FiniteMultiplicity.multiplicity_add_of_gtproof · cited by 2
- WithTop.isEmbedding_coeproof · cited by 2
- WithBotTop.coe_strictMonoproof · cited by 0
- WithTop.isOpenEmbedding_someproof · cited by 0