Theorems · Theorem · order theory
WithTop.untop.congr_simp
∀ {α : Type u_1} (x x_1 : WithTop α) (e_x : x = x_1) (a : x ≠ ⊤), x.untop a = x_1.untop ⋯- Defined in
- Mathlib.Order.WithBot
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- WithTopstatement and proof · cited by 3,754
- WithTop.untopstatement and proof · cited by 36
Cited by9
Results whose statement or proof uses this declaration.
- HahnSeries.leadingCoeff_of_ne_zeroproof · cited by 11
- HahnSeries.leadingCoeff_eqproof · cited by 3
- HahnSeries.leadingCoeff_add_eq_leftproof · cited by 3
- HahnSeries.leadingCoeff_negproof · cited by 1
- FiniteMulArchimedeanClass.lift_mkproof · cited by 1
- HahnModule.coeff_smul_order_add_orderproof · cited by 1
- HahnSeries.addOppositeEquiv_leadingCoeffproof · cited by 1
- FiniteArchimedeanClass.lift_mkproof · cited by 1