Theorems · Theorem · order theory
Pi.toLex_strictMono
∀ {ι : Type u_1} {β : ι → Type u_2} [inst : LinearOrder ι] [inst_1 : (i : ι) → PartialOrder (β i)] [WellFoundedLT ι],
StrictMono ⇑toLex- Defined in
- Mathlib.Order.PiLex
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- Set.ofPredproof · cited by 6,101
- LT.lt.leproof · cited by 2,189
- LT.lt.neproof · cited by 872
- StrictMonostatement · cited by 706
- WellFoundedLTstatement and proof · cited by 491
- Lexstatement · cited by 370
- toLexstatement and proof · cited by 195
- LE.le.lt_of_neproof · cited by 116
Cited by3
Results whose statement or proof uses this declaration.
- Pi.toLex_update_lt_self_iffproof · cited by 1
- Pi.lt_toLex_update_self_iffproof · cited by 1
- Pi.toColex_strictMonoproof · cited by 0