Theorems · Theorem
Function.hfunext
∀ {α α' : Sort u} {β : α → Sort v} {β' : α' → Sort v} {f : (a : α) → β a} {f' : (a : α') → β' a},
α = α' → (∀ (a : α) (a' : α'), a ≍ a' → f a ≍ f' a') → f ≍ f'- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by9
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.comp_coeff_zeroproof · cited by 2
- Finset.sum_attach_eq_sum_diteproof · cited by 1
- Fin.removeNth_removeNth_heq_swapproof · cited by 1
- LinearMap.trace_eq_zero_of_mapsTo_neproof · cited by 1
- Finset.prod_attach_eq_prod_diteproof · cited by 1
- Real.ofDigits_const_last_eq_one'proof · cited by 1
- NumberField.absNorm_mul_finprod_finitePlace_eq_oneproof · cited by 1
- Multiset.Pi.cons_swapproof · cited by 0
- heq_const_of_uniqueproof · cited by 0