Theorems · Theorem · group theory
MulEquiv.strictMono_symm
∀ {G : Type u_1} {G' : Type u_2} [inst : CommMonoid G] [inst_1 : LinearOrder G] [inst_2 : CommMonoid G']
[inst_3 : Preorder G'] {e : G ≃* G'}, StrictMono ⇑e → StrictMono ⇑e.symm- Defined in
- Mathlib.Algebra.Group.Subgroup.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Preorderstatement and proof · cited by 7,952
- CommMonoidstatement and proof · cited by 2,264
- MulEquivstatement and proof · cited by 1,142
- StrictMonostatement and proof · cited by 706
- MulEquiv.symmstatement and proof · cited by 482
- StrictMono.lt_iff_ltproof · cited by 86
- MulEquiv.apply_symm_applyproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- Valuation.IsRankOneDiscrete.valueGroup₀_equiv_withZeroMulInt_strictMonoproof · cited by 0