Theorems · Theorem · order theory
WithTop.coe_mono
∀ {α : Type u_1} [inst : Preorder α], Monotone fun a => ↑a- Defined in
- Mathlib.Order.WithBot
- Cited by
- 6 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
- Monotonestatement · cited by 1,397
- WithTop.somestatement and proof · cited by 1,128
- WithTop.coe_le_coeproof · cited by 65
Cited by6
Results whose statement or proof uses this declaration.
- WithTop.coe_sInf'proof · cited by 2
- Nat.Prime.emultiplicity_choose_prime_pow_add_emultiplicityproof · cited by 2
- WithTop.monotone_iffproof · cited by 1
- le_emultiplicity_of_le_multiplicityproof · cited by 1
- Dynamics.coverMincard_union_leproof · cited by 1
- Nat.Prime.emultiplicity_factorial_le_div_predproof · cited by 0